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Finding the Fourth Proportional to 3,767.32, 5,652.06 and 1,459

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Solution

The fourth proportional to 3,767.32, 5,652.06 and 1,459 is: 2,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.32 : 5,652.06 = 1,459 : x
  2. Step 2: Convert to fraction form
    3,767.32/5,652.06 = 1,459/x
  3. Step 3: Cross multiply
    3,767.32x = 5,652.06 × 1,459
  4. Step 4: Simplify right side
    3,767.32x = 8,246,355.54
  5. Step 5: Solve for x
    x = 8,246,355.54/3,767.32
  6. Step 6: Final answer
    x = 2,188.92

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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.