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Finding the Fourth Proportional to 3,731.84, 5,599.68 and 2,714.24

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Solution

The fourth proportional to 3,731.84, 5,599.68 and 2,714.24 is: 4,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.84 : 5,599.68 = 2,714.24 : x
  2. Step 2: Convert to fraction form
    3,731.84/5,599.68 = 2,714.24/x
  3. Step 3: Cross multiply
    3,731.84x = 5,599.68 × 2,714.24
  4. Step 4: Simplify right side
    3,731.84x = 15,198,875.44
  5. Step 5: Solve for x
    x = 15,198,875.44/3,731.84
  6. Step 6: Final answer
    x = 4,072.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.