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Finding the Fourth Proportional to 4,151.92, 6,227.78 and 1,031.93

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Solution

The fourth proportional to 4,151.92, 6,227.78 and 1,031.93 is: 1,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.92 : 6,227.78 = 1,031.93 : x
  2. Step 2: Convert to fraction form
    4,151.92/6,227.78 = 1,031.93/x
  3. Step 3: Cross multiply
    4,151.92x = 6,227.78 × 1,031.93
  4. Step 4: Simplify right side
    4,151.92x = 6,426,627.86
  5. Step 5: Solve for x
    x = 6,426,627.86/4,151.92
  6. Step 6: Final answer
    x = 1,547.87

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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.