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Finding the Fourth Proportional to 3,257.64, 4,886.46 and 2,288.07

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Solution

The fourth proportional to 3,257.64, 4,886.46 and 2,288.07 is: 3,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.64 : 4,886.46 = 2,288.07 : x
  2. Step 2: Convert to fraction form
    3,257.64/4,886.46 = 2,288.07/x
  3. Step 3: Cross multiply
    3,257.64x = 4,886.46 × 2,288.07
  4. Step 4: Simplify right side
    3,257.64x = 11,180,562.53
  5. Step 5: Solve for x
    x = 11,180,562.53/3,257.64
  6. Step 6: Final answer
    x = 3,432.11

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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.