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Finding the Fourth Proportional to 5,254.99, 7,883.71 and 1,744.74

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Solution

The fourth proportional to 5,254.99, 7,883.71 and 1,744.74 is: 2,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.99 : 7,883.71 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    5,254.99/7,883.71 = 1,744.74/x
  3. Step 3: Cross multiply
    5,254.99x = 7,883.71 × 1,744.74
  4. Step 4: Simplify right side
    5,254.99x = 13,755,019.82
  5. Step 5: Solve for x
    x = 13,755,019.82/5,254.99
  6. Step 6: Final answer
    x = 2,617.52

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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.