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Finding the Fourth Proportional to 3,646.52, 5,468.43 and 1,306.16

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Solution

The fourth proportional to 3,646.52, 5,468.43 and 1,306.16 is: 1,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.52 : 5,468.43 = 1,306.16 : x
  2. Step 2: Convert to fraction form
    3,646.52/5,468.43 = 1,306.16/x
  3. Step 3: Cross multiply
    3,646.52x = 5,468.43 × 1,306.16
  4. Step 4: Simplify right side
    3,646.52x = 7,142,644.53
  5. Step 5: Solve for x
    x = 7,142,644.53/3,646.52
  6. Step 6: Final answer
    x = 1,958.76

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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.