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Finding the Fourth Proportional to 3,701.38, 5,549.60 and 1,509.52

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Solution

The fourth proportional to 3,701.38, 5,549.60 and 1,509.52 is: 2,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.38 : 5,549.60 = 1,509.52 : x
  2. Step 2: Convert to fraction form
    3,701.38/5,549.60 = 1,509.52/x
  3. Step 3: Cross multiply
    3,701.38x = 5,549.60 × 1,509.52
  4. Step 4: Simplify right side
    3,701.38x = 8,377,232.19
  5. Step 5: Solve for x
    x = 8,377,232.19/3,701.38
  6. Step 6: Final answer
    x = 2,263.27

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