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Finding the Fourth Proportional to 5,165.32, 7,742.32 and 2,238

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Solution

The fourth proportional to 5,165.32, 7,742.32 and 2,238 is: 3,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.32 : 7,742.32 = 2,238 : x
  2. Step 2: Convert to fraction form
    5,165.32/7,742.32 = 2,238/x
  3. Step 3: Cross multiply
    5,165.32x = 7,742.32 × 2,238
  4. Step 4: Simplify right side
    5,165.32x = 17,327,312.16
  5. Step 5: Solve for x
    x = 17,327,312.16/5,165.32
  6. Step 6: Final answer
    x = 3,354.55

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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.