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Finding the Fourth Proportional to 6,059.60, 8,366.39 and 4,640.78

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Solution

The fourth proportional to 6,059.60, 8,366.39 and 4,640.78 is: 6,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.60 : 8,366.39 = 4,640.78 : x
  2. Step 2: Convert to fraction form
    6,059.60/8,366.39 = 4,640.78/x
  3. Step 3: Cross multiply
    6,059.60x = 8,366.39 × 4,640.78
  4. Step 4: Simplify right side
    6,059.60x = 38,826,575.38
  5. Step 5: Solve for x
    x = 38,826,575.38/6,059.60
  6. Step 6: Final answer
    x = 6,407.45

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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.