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Finding the Fourth Proportional to 5,605,457.49, 7,735,531.14 and 3,027,138.03

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Solution

The fourth proportional to 5,605,457.49, 7,735,531.14 and 3,027,138.03 is: 4,177,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,457.49 : 7,735,531.14 = 3,027,138.03 : x
  2. Step 2: Convert to fraction form
    5,605,457.49/7,735,531.14 = 3,027,138.03/x
  3. Step 3: Cross multiply
    5,605,457.49x = 7,735,531.14 × 3,027,138.03
  4. Step 4: Simplify right side
    5,605,457.49x = 23,416,520,496,143.25
  5. Step 5: Solve for x
    x = 23,416,520,496,143.25/5,605,457.49
  6. Step 6: Final answer
    x = 4,177,450.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.