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Finding the Fourth Proportional to 5,646.42, 8,471.68 and 3,011.16

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Solution

The fourth proportional to 5,646.42, 8,471.68 and 3,011.16 is: 4,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.42 : 8,471.68 = 3,011.16 : x
  2. Step 2: Convert to fraction form
    5,646.42/8,471.68 = 3,011.16/x
  3. Step 3: Cross multiply
    5,646.42x = 8,471.68 × 3,011.16
  4. Step 4: Simplify right side
    5,646.42x = 25,509,583.95
  5. Step 5: Solve for x
    x = 25,509,583.95/5,646.42
  6. Step 6: Final answer
    x = 4,517.83

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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.