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Finding the Fourth Proportional to 5,684.98, 8,516.17 and 4,446.60

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Solution

The fourth proportional to 5,684.98, 8,516.17 and 4,446.60 is: 6,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.98 : 8,516.17 = 4,446.60 : x
  2. Step 2: Convert to fraction form
    5,684.98/8,516.17 = 4,446.60/x
  3. Step 3: Cross multiply
    5,684.98x = 8,516.17 × 4,446.60
  4. Step 4: Simplify right side
    5,684.98x = 37,868,001.52
  5. Step 5: Solve for x
    x = 37,868,001.52/5,684.98
  6. Step 6: Final answer
    x = 6,661.06

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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.