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Finding the Fourth Proportional to 3,714.32, 5,125.57 and 2,035.42

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Solution

The fourth proportional to 3,714.32, 5,125.57 and 2,035.42 is: 2,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.32 : 5,125.57 = 2,035.42 : x
  2. Step 2: Convert to fraction form
    3,714.32/5,125.57 = 2,035.42/x
  3. Step 3: Cross multiply
    3,714.32x = 5,125.57 × 2,035.42
  4. Step 4: Simplify right side
    3,714.32x = 10,432,669.79
  5. Step 5: Solve for x
    x = 10,432,669.79/3,714.32
  6. Step 6: Final answer
    x = 2,808.77

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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.