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Finding the Fourth Proportional to 3,411.38, 4,714.58 and 2,571.78

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Solution

The fourth proportional to 3,411.38, 4,714.58 and 2,571.78 is: 3,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.38 : 4,714.58 = 2,571.78 : x
  2. Step 2: Convert to fraction form
    3,411.38/4,714.58 = 2,571.78/x
  3. Step 3: Cross multiply
    3,411.38x = 4,714.58 × 2,571.78
  4. Step 4: Simplify right side
    3,411.38x = 12,124,839.65
  5. Step 5: Solve for x
    x = 12,124,839.65/3,411.38
  6. Step 6: Final answer
    x = 3,554.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.