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Finding the Fourth Proportional to 3,714.84, 5,125.68 and 2,143.08

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Solution

The fourth proportional to 3,714.84, 5,125.68 and 2,143.08 is: 2,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.84 : 5,125.68 = 2,143.08 : x
  2. Step 2: Convert to fraction form
    3,714.84/5,125.68 = 2,143.08/x
  3. Step 3: Cross multiply
    3,714.84x = 5,125.68 × 2,143.08
  4. Step 4: Simplify right side
    3,714.84x = 10,984,742.29
  5. Step 5: Solve for x
    x = 10,984,742.29/3,714.84
  6. Step 6: Final answer
    x = 2,956.99

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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.