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Finding the Fourth Proportional to 4,699.47, 6,478.32 and 3,702.78

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Solution

The fourth proportional to 4,699.47, 6,478.32 and 3,702.78 is: 5,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.47 : 6,478.32 = 3,702.78 : x
  2. Step 2: Convert to fraction form
    4,699.47/6,478.32 = 3,702.78/x
  3. Step 3: Cross multiply
    4,699.47x = 6,478.32 × 3,702.78
  4. Step 4: Simplify right side
    4,699.47x = 23,987,793.73
  5. Step 5: Solve for x
    x = 23,987,793.73/4,699.47
  6. Step 6: Final answer
    x = 5,104.36

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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.