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Finding the Fourth Proportional to 4,337.66, 6,508.31 and 2,258.19

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Solution

The fourth proportional to 4,337.66, 6,508.31 and 2,258.19 is: 3,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.66 : 6,508.31 = 2,258.19 : x
  2. Step 2: Convert to fraction form
    4,337.66/6,508.31 = 2,258.19/x
  3. Step 3: Cross multiply
    4,337.66x = 6,508.31 × 2,258.19
  4. Step 4: Simplify right side
    4,337.66x = 14,696,989.27
  5. Step 5: Solve for x
    x = 14,696,989.27/4,337.66
  6. Step 6: Final answer
    x = 3,388.23

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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.