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Finding the Fourth Proportional to 4,595.67, 6,343.92 and 3,414.69

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Solution

The fourth proportional to 4,595.67, 6,343.92 and 3,414.69 is: 4,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.67 : 6,343.92 = 3,414.69 : x
  2. Step 2: Convert to fraction form
    4,595.67/6,343.92 = 3,414.69/x
  3. Step 3: Cross multiply
    4,595.67x = 6,343.92 × 3,414.69
  4. Step 4: Simplify right side
    4,595.67x = 21,662,520.18
  5. Step 5: Solve for x
    x = 21,662,520.18/4,595.67
  6. Step 6: Final answer
    x = 4,713.68

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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.