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Finding the Fourth Proportional to 5,292.75, 7,939.11 and 1,397.13

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Solution

The fourth proportional to 5,292.75, 7,939.11 and 1,397.13 is: 2,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.75 : 7,939.11 = 1,397.13 : x
  2. Step 2: Convert to fraction form
    5,292.75/7,939.11 = 1,397.13/x
  3. Step 3: Cross multiply
    5,292.75x = 7,939.11 × 1,397.13
  4. Step 4: Simplify right side
    5,292.75x = 11,091,968.75
  5. Step 5: Solve for x
    x = 11,091,968.75/5,292.75
  6. Step 6: Final answer
    x = 2,095.69

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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.