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Finding the Fourth Proportional to 4,661.60, 6,432.61 and 2,747.11

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Solution

The fourth proportional to 4,661.60, 6,432.61 and 2,747.11 is: 3,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.60 : 6,432.61 = 2,747.11 : x
  2. Step 2: Convert to fraction form
    4,661.60/6,432.61 = 2,747.11/x
  3. Step 3: Cross multiply
    4,661.60x = 6,432.61 × 2,747.11
  4. Step 4: Simplify right side
    4,661.60x = 17,671,064.31
  5. Step 5: Solve for x
    x = 17,671,064.31/4,661.60
  6. Step 6: Final answer
    x = 3,790.78

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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.