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Finding the Fourth Proportional to 5,753.17, 8,634.03 and 4,275.81

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Solution

The fourth proportional to 5,753.17, 8,634.03 and 4,275.81 is: 6,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.17 : 8,634.03 = 4,275.81 : x
  2. Step 2: Convert to fraction form
    5,753.17/8,634.03 = 4,275.81/x
  3. Step 3: Cross multiply
    5,753.17x = 8,634.03 × 4,275.81
  4. Step 4: Simplify right side
    5,753.17x = 36,917,471.81
  5. Step 5: Solve for x
    x = 36,917,471.81/5,753.17
  6. Step 6: Final answer
    x = 6,416.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.