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Finding the Fourth Proportional to 5,646.34, 8,472.48 and 4,013.38

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Solution

The fourth proportional to 5,646.34, 8,472.48 and 4,013.38 is: 6,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.34 : 8,472.48 = 4,013.38 : x
  2. Step 2: Convert to fraction form
    5,646.34/8,472.48 = 4,013.38/x
  3. Step 3: Cross multiply
    5,646.34x = 8,472.48 × 4,013.38
  4. Step 4: Simplify right side
    5,646.34x = 34,003,281.78
  5. Step 5: Solve for x
    x = 34,003,281.78/5,646.34
  6. Step 6: Final answer
    x = 6,022.18

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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.