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Finding the Fourth Proportional to 3,213.57, 4,430.93 and 2,504.61

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Solution

The fourth proportional to 3,213.57, 4,430.93 and 2,504.61 is: 3,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.57 : 4,430.93 = 2,504.61 : x
  2. Step 2: Convert to fraction form
    3,213.57/4,430.93 = 2,504.61/x
  3. Step 3: Cross multiply
    3,213.57x = 4,430.93 × 2,504.61
  4. Step 4: Simplify right side
    3,213.57x = 11,097,739.06
  5. Step 5: Solve for x
    x = 11,097,739.06/3,213.57
  6. Step 6: Final answer
    x = 3,453.40

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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.