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Finding the Fourth Proportional to 4,329.92, 6,497.66 and 4,294.69

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Solution

The fourth proportional to 4,329.92, 6,497.66 and 4,294.69 is: 6,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.92 : 6,497.66 = 4,294.69 : x
  2. Step 2: Convert to fraction form
    4,329.92/6,497.66 = 4,294.69/x
  3. Step 3: Cross multiply
    4,329.92x = 6,497.66 × 4,294.69
  4. Step 4: Simplify right side
    4,329.92x = 27,905,429.92
  5. Step 5: Solve for x
    x = 27,905,429.92/4,329.92
  6. Step 6: Final answer
    x = 6,444.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.