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Finding the Fourth Proportional to 3,714.68, 5,570.71 and 2,671.56

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Solution

The fourth proportional to 3,714.68, 5,570.71 and 2,671.56 is: 4,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.68 : 5,570.71 = 2,671.56 : x
  2. Step 2: Convert to fraction form
    3,714.68/5,570.71 = 2,671.56/x
  3. Step 3: Cross multiply
    3,714.68x = 5,570.71 × 2,671.56
  4. Step 4: Simplify right side
    3,714.68x = 14,882,479.33
  5. Step 5: Solve for x
    x = 14,882,479.33/3,714.68
  6. Step 6: Final answer
    x = 4,006.39

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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.