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Finding the Fourth Proportional to 4,654.53, 6,951.69 and 4,214.90

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Solution

The fourth proportional to 4,654.53, 6,951.69 and 4,214.90 is: 6,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.53 : 6,951.69 = 4,214.90 : x
  2. Step 2: Convert to fraction form
    4,654.53/6,951.69 = 4,214.90/x
  3. Step 3: Cross multiply
    4,654.53x = 6,951.69 × 4,214.90
  4. Step 4: Simplify right side
    4,654.53x = 29,300,695.56
  5. Step 5: Solve for x
    x = 29,300,695.56/4,654.53
  6. Step 6: Final answer
    x = 6,295.09

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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.