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Finding the Fourth Proportional to 4,911.03, 7,365.74 and 1,400.49

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Solution

The fourth proportional to 4,911.03, 7,365.74 and 1,400.49 is: 2,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.03 : 7,365.74 = 1,400.49 : x
  2. Step 2: Convert to fraction form
    4,911.03/7,365.74 = 1,400.49/x
  3. Step 3: Cross multiply
    4,911.03x = 7,365.74 × 1,400.49
  4. Step 4: Simplify right side
    4,911.03x = 10,315,638.21
  5. Step 5: Solve for x
    x = 10,315,638.21/4,911.03
  6. Step 6: Final answer
    x = 2,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.