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Finding the Fourth Proportional to 3,642.32, 5,463.16 and 1,887.24

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Solution

The fourth proportional to 3,642.32, 5,463.16 and 1,887.24 is: 2,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.32 : 5,463.16 = 1,887.24 : x
  2. Step 2: Convert to fraction form
    3,642.32/5,463.16 = 1,887.24/x
  3. Step 3: Cross multiply
    3,642.32x = 5,463.16 × 1,887.24
  4. Step 4: Simplify right side
    3,642.32x = 10,310,294.08
  5. Step 5: Solve for x
    x = 10,310,294.08/3,642.32
  6. Step 6: Final answer
    x = 2,830.69

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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.