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Finding the Fourth Proportional to 4,472.92, 6,702.54 and 3,006.64

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Solution

The fourth proportional to 4,472.92, 6,702.54 and 3,006.64 is: 4,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.92 : 6,702.54 = 3,006.64 : x
  2. Step 2: Convert to fraction form
    4,472.92/6,702.54 = 3,006.64/x
  3. Step 3: Cross multiply
    4,472.92x = 6,702.54 × 3,006.64
  4. Step 4: Simplify right side
    4,472.92x = 20,152,124.87
  5. Step 5: Solve for x
    x = 20,152,124.87/4,472.92
  6. Step 6: Final answer
    x = 4,505.36

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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.