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Finding the Fourth Proportional to 3,642.81, 5,463.57 and 1,045.14

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Solution

The fourth proportional to 3,642.81, 5,463.57 and 1,045.14 is: 1,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.81 : 5,463.57 = 1,045.14 : x
  2. Step 2: Convert to fraction form
    3,642.81/5,463.57 = 1,045.14/x
  3. Step 3: Cross multiply
    3,642.81x = 5,463.57 × 1,045.14
  4. Step 4: Simplify right side
    3,642.81x = 5,710,195.55
  5. Step 5: Solve for x
    x = 5,710,195.55/3,642.81
  6. Step 6: Final answer
    x = 1,567.52

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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.