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Finding the Fourth Proportional to 3,714.81, 5,127.01 and 2,371

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Solution

The fourth proportional to 3,714.81, 5,127.01 and 2,371 is: 3,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.81 : 5,127.01 = 2,371 : x
  2. Step 2: Convert to fraction form
    3,714.81/5,127.01 = 2,371/x
  3. Step 3: Cross multiply
    3,714.81x = 5,127.01 × 2,371
  4. Step 4: Simplify right side
    3,714.81x = 12,156,140.71
  5. Step 5: Solve for x
    x = 12,156,140.71/3,714.81
  6. Step 6: Final answer
    x = 3,272.35

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Why These Related Problems?

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