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Finding the Fourth Proportional to 3,714.63, 5,125.95 and 2,142.69

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Solution

The fourth proportional to 3,714.63, 5,125.95 and 2,142.69 is: 2,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.63 : 5,125.95 = 2,142.69 : x
  2. Step 2: Convert to fraction form
    3,714.63/5,125.95 = 2,142.69/x
  3. Step 3: Cross multiply
    3,714.63x = 5,125.95 × 2,142.69
  4. Step 4: Simplify right side
    3,714.63x = 10,983,321.81
  5. Step 5: Solve for x
    x = 10,983,321.81/3,714.63
  6. Step 6: Final answer
    x = 2,956.77

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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.