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Finding the Fourth Proportional to 3,454.70, 4,765.06 and 2,129.13

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Solution

The fourth proportional to 3,454.70, 4,765.06 and 2,129.13 is: 2,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.70 : 4,765.06 = 2,129.13 : x
  2. Step 2: Convert to fraction form
    3,454.70/4,765.06 = 2,129.13/x
  3. Step 3: Cross multiply
    3,454.70x = 4,765.06 × 2,129.13
  4. Step 4: Simplify right side
    3,454.70x = 10,145,434.86
  5. Step 5: Solve for x
    x = 10,145,434.86/3,454.70
  6. Step 6: Final answer
    x = 2,936.71

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