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Finding the Fourth Proportional to 3,456.59, 4,768.46 and 2,129.81

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Solution

The fourth proportional to 3,456.59, 4,768.46 and 2,129.81 is: 2,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.59 : 4,768.46 = 2,129.81 : x
  2. Step 2: Convert to fraction form
    3,456.59/4,768.46 = 2,129.81/x
  3. Step 3: Cross multiply
    3,456.59x = 4,768.46 × 2,129.81
  4. Step 4: Simplify right side
    3,456.59x = 10,155,879.30
  5. Step 5: Solve for x
    x = 10,155,879.30/3,456.59
  6. Step 6: Final answer
    x = 2,938.13

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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.