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Finding the Fourth Proportional to 4,951.60, 7,385.67 and 4,607.14

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Solution

The fourth proportional to 4,951.60, 7,385.67 and 4,607.14 is: 6,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.60 : 7,385.67 = 4,607.14 : x
  2. Step 2: Convert to fraction form
    4,951.60/7,385.67 = 4,607.14/x
  3. Step 3: Cross multiply
    4,951.60x = 7,385.67 × 4,607.14
  4. Step 4: Simplify right side
    4,951.60x = 34,026,815.68
  5. Step 5: Solve for x
    x = 34,026,815.68/4,951.60
  6. Step 6: Final answer
    x = 6,871.88

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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.