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Finding the Fourth Proportional to 4,258.52, 6,385.96 and 1,659.64

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Solution

The fourth proportional to 4,258.52, 6,385.96 and 1,659.64 is: 2,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.52 : 6,385.96 = 1,659.64 : x
  2. Step 2: Convert to fraction form
    4,258.52/6,385.96 = 1,659.64/x
  3. Step 3: Cross multiply
    4,258.52x = 6,385.96 × 1,659.64
  4. Step 4: Simplify right side
    4,258.52x = 10,598,394.65
  5. Step 5: Solve for x
    x = 10,598,394.65/4,258.52
  6. Step 6: Final answer
    x = 2,488.75

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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.