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Finding the Fourth Proportional to 5,857.32, 8,081.76 and 3,499

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Solution

The fourth proportional to 5,857.32, 8,081.76 and 3,499 is: 4,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.32 : 8,081.76 = 3,499 : x
  2. Step 2: Convert to fraction form
    5,857.32/8,081.76 = 3,499/x
  3. Step 3: Cross multiply
    5,857.32x = 8,081.76 × 3,499
  4. Step 4: Simplify right side
    5,857.32x = 28,278,078.24
  5. Step 5: Solve for x
    x = 28,278,078.24/5,857.32
  6. Step 6: Final answer
    x = 4,827.82

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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.