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Finding the Fourth Proportional to 3,697.89, 5,542.04 and 1,504.07

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Solution

The fourth proportional to 3,697.89, 5,542.04 and 1,504.07 is: 2,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.89 : 5,542.04 = 1,504.07 : x
  2. Step 2: Convert to fraction form
    3,697.89/5,542.04 = 1,504.07/x
  3. Step 3: Cross multiply
    3,697.89x = 5,542.04 × 1,504.07
  4. Step 4: Simplify right side
    3,697.89x = 8,335,616.10
  5. Step 5: Solve for x
    x = 8,335,616.10/3,697.89
  6. Step 6: Final answer
    x = 2,254.15

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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.