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Finding the Fourth Proportional to 3,763.92, 5,646.66 and 1,131.32

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Solution

The fourth proportional to 3,763.92, 5,646.66 and 1,131.32 is: 1,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.92 : 5,646.66 = 1,131.32 : x
  2. Step 2: Convert to fraction form
    3,763.92/5,646.66 = 1,131.32/x
  3. Step 3: Cross multiply
    3,763.92x = 5,646.66 × 1,131.32
  4. Step 4: Simplify right side
    3,763.92x = 6,388,151.16
  5. Step 5: Solve for x
    x = 6,388,151.16/3,763.92
  6. Step 6: Final answer
    x = 1,697.21

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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.