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Finding the Fourth Proportional to 5,301.32, 7,936.14 and 3,215

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Solution

The fourth proportional to 5,301.32, 7,936.14 and 3,215 is: 4,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.32 : 7,936.14 = 3,215 : x
  2. Step 2: Convert to fraction form
    5,301.32/7,936.14 = 3,215/x
  3. Step 3: Cross multiply
    5,301.32x = 7,936.14 × 3,215
  4. Step 4: Simplify right side
    5,301.32x = 25,514,690.10
  5. Step 5: Solve for x
    x = 25,514,690.10/5,301.32
  6. Step 6: Final answer
    x = 4,812.89

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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.