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Finding the Fourth Proportional to 5,677.70, 8,472.20 and 4,494.29

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Solution

The fourth proportional to 5,677.70, 8,472.20 and 4,494.29 is: 6,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.70 : 8,472.20 = 4,494.29 : x
  2. Step 2: Convert to fraction form
    5,677.70/8,472.20 = 4,494.29/x
  3. Step 3: Cross multiply
    5,677.70x = 8,472.20 × 4,494.29
  4. Step 4: Simplify right side
    5,677.70x = 38,076,458.91
  5. Step 5: Solve for x
    x = 38,076,458.91/5,677.70
  6. Step 6: Final answer
    x = 6,706.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.