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Finding the Fourth Proportional to 3,718.20, 5,128.62 and 2,931

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Solution

The fourth proportional to 3,718.20, 5,128.62 and 2,931 is: 4,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.20 : 5,128.62 = 2,931 : x
  2. Step 2: Convert to fraction form
    3,718.20/5,128.62 = 2,931/x
  3. Step 3: Cross multiply
    3,718.20x = 5,128.62 × 2,931
  4. Step 4: Simplify right side
    3,718.20x = 15,031,985.22
  5. Step 5: Solve for x
    x = 15,031,985.22/3,718.20
  6. Step 6: Final answer
    x = 4,042.81

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