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Finding the Fourth Proportional to 4,714.38, 6,505.84 and 2,589.97

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Solution

The fourth proportional to 4,714.38, 6,505.84 and 2,589.97 is: 3,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.38 : 6,505.84 = 2,589.97 : x
  2. Step 2: Convert to fraction form
    4,714.38/6,505.84 = 2,589.97/x
  3. Step 3: Cross multiply
    4,714.38x = 6,505.84 × 2,589.97
  4. Step 4: Simplify right side
    4,714.38x = 16,849,907.69
  5. Step 5: Solve for x
    x = 16,849,907.69/4,714.38
  6. Step 6: Final answer
    x = 3,574.15

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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.