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Finding the Fourth Proportional to 5,254.07, 7,882.04 and 1,744.29

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Solution

The fourth proportional to 5,254.07, 7,882.04 and 1,744.29 is: 2,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.07 : 7,882.04 = 1,744.29 : x
  2. Step 2: Convert to fraction form
    5,254.07/7,882.04 = 1,744.29/x
  3. Step 3: Cross multiply
    5,254.07x = 7,882.04 × 1,744.29
  4. Step 4: Simplify right side
    5,254.07x = 13,748,515.42
  5. Step 5: Solve for x
    x = 13,748,515.42/5,254.07
  6. Step 6: Final answer
    x = 2,616.74

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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.