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Finding the Fourth Proportional to 4,031.92, 5,999.10 and 3,931.48

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Solution

The fourth proportional to 4,031.92, 5,999.10 and 3,931.48 is: 5,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.92 : 5,999.10 = 3,931.48 : x
  2. Step 2: Convert to fraction form
    4,031.92/5,999.10 = 3,931.48/x
  3. Step 3: Cross multiply
    4,031.92x = 5,999.10 × 3,931.48
  4. Step 4: Simplify right side
    4,031.92x = 23,585,341.67
  5. Step 5: Solve for x
    x = 23,585,341.67/4,031.92
  6. Step 6: Final answer
    x = 5,849.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.