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Finding the Fourth Proportional to 3,714.16, 5,124.28 and 2,119.66

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Solution

The fourth proportional to 3,714.16, 5,124.28 and 2,119.66 is: 2,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.16 : 5,124.28 = 2,119.66 : x
  2. Step 2: Convert to fraction form
    3,714.16/5,124.28 = 2,119.66/x
  3. Step 3: Cross multiply
    3,714.16x = 5,124.28 × 2,119.66
  4. Step 4: Simplify right side
    3,714.16x = 10,861,731.34
  5. Step 5: Solve for x
    x = 10,861,731.34/3,714.16
  6. Step 6: Final answer
    x = 2,924.41

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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.