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Finding the Fourth Proportional to 5,242.68, 7,864.30 and 1,347.12

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Solution

The fourth proportional to 5,242.68, 7,864.30 and 1,347.12 is: 2,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.68 : 7,864.30 = 1,347.12 : x
  2. Step 2: Convert to fraction form
    5,242.68/7,864.30 = 1,347.12/x
  3. Step 3: Cross multiply
    5,242.68x = 7,864.30 × 1,347.12
  4. Step 4: Simplify right side
    5,242.68x = 10,594,155.82
  5. Step 5: Solve for x
    x = 10,594,155.82/5,242.68
  6. Step 6: Final answer
    x = 2,020.75

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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.