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Finding the Fourth Proportional to 4,702.40, 6,481.88 and 3,706.10

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Solution

The fourth proportional to 4,702.40, 6,481.88 and 3,706.10 is: 5,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.40 : 6,481.88 = 3,706.10 : x
  2. Step 2: Convert to fraction form
    4,702.40/6,481.88 = 3,706.10/x
  3. Step 3: Cross multiply
    4,702.40x = 6,481.88 × 3,706.10
  4. Step 4: Simplify right side
    4,702.40x = 24,022,495.47
  5. Step 5: Solve for x
    x = 24,022,495.47/4,702.40
  6. Step 6: Final answer
    x = 5,108.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.