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Finding the Fourth Proportional to 5,242.82, 7,864.05 and 1,347.26

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Solution

The fourth proportional to 5,242.82, 7,864.05 and 1,347.26 is: 2,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.82 : 7,864.05 = 1,347.26 : x
  2. Step 2: Convert to fraction form
    5,242.82/7,864.05 = 1,347.26/x
  3. Step 3: Cross multiply
    5,242.82x = 7,864.05 × 1,347.26
  4. Step 4: Simplify right side
    5,242.82x = 10,594,920.00
  5. Step 5: Solve for x
    x = 10,594,920.00/5,242.82
  6. Step 6: Final answer
    x = 2,020.84

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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.