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Finding the Fourth Proportional to 5,772.74, 7,965.81 and 3,254.61

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Solution

The fourth proportional to 5,772.74, 7,965.81 and 3,254.61 is: 4,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.74 : 7,965.81 = 3,254.61 : x
  2. Step 2: Convert to fraction form
    5,772.74/7,965.81 = 3,254.61/x
  3. Step 3: Cross multiply
    5,772.74x = 7,965.81 × 3,254.61
  4. Step 4: Simplify right side
    5,772.74x = 25,925,634.76
  5. Step 5: Solve for x
    x = 25,925,634.76/5,772.74
  6. Step 6: Final answer
    x = 4,491.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.