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Finding the Fourth Proportional to 5,254.06, 7,881.71 and 1,744.38

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Solution

The fourth proportional to 5,254.06, 7,881.71 and 1,744.38 is: 2,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.06 : 7,881.71 = 1,744.38 : x
  2. Step 2: Convert to fraction form
    5,254.06/7,881.71 = 1,744.38/x
  3. Step 3: Cross multiply
    5,254.06x = 7,881.71 × 1,744.38
  4. Step 4: Simplify right side
    5,254.06x = 13,748,697.29
  5. Step 5: Solve for x
    x = 13,748,697.29/5,254.06
  6. Step 6: Final answer
    x = 2,616.78

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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.