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Finding the Fourth Proportional to 3,697.49, 5,098.20 and 3,032.21

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Solution

The fourth proportional to 3,697.49, 5,098.20 and 3,032.21 is: 4,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.49 : 5,098.20 = 3,032.21 : x
  2. Step 2: Convert to fraction form
    3,697.49/5,098.20 = 3,032.21/x
  3. Step 3: Cross multiply
    3,697.49x = 5,098.20 × 3,032.21
  4. Step 4: Simplify right side
    3,697.49x = 15,458,813.02
  5. Step 5: Solve for x
    x = 15,458,813.02/3,697.49
  6. Step 6: Final answer
    x = 4,180.89

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1.5x scale

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.