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Finding the Fourth Proportional to 4,458.54, 6,687.89 and 1,686.53

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Solution

The fourth proportional to 4,458.54, 6,687.89 and 1,686.53 is: 2,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.54 : 6,687.89 = 1,686.53 : x
  2. Step 2: Convert to fraction form
    4,458.54/6,687.89 = 1,686.53/x
  3. Step 3: Cross multiply
    4,458.54x = 6,687.89 × 1,686.53
  4. Step 4: Simplify right side
    4,458.54x = 11,279,285.25
  5. Step 5: Solve for x
    x = 11,279,285.25/4,458.54
  6. Step 6: Final answer
    x = 2,529.82

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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.