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Finding the Fourth Proportional to 5,275.74, 7,906.30 and 4,491.66

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Solution

The fourth proportional to 5,275.74, 7,906.30 and 4,491.66 is: 6,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.74 : 7,906.30 = 4,491.66 : x
  2. Step 2: Convert to fraction form
    5,275.74/7,906.30 = 4,491.66/x
  3. Step 3: Cross multiply
    5,275.74x = 7,906.30 × 4,491.66
  4. Step 4: Simplify right side
    5,275.74x = 35,512,411.46
  5. Step 5: Solve for x
    x = 35,512,411.46/5,275.74
  6. Step 6: Final answer
    x = 6,731.27

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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.