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Finding the Fourth Proportional to 4,532.65, 6,795.33 and 4,168.15

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Solution

The fourth proportional to 4,532.65, 6,795.33 and 4,168.15 is: 6,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.65 : 6,795.33 = 4,168.15 : x
  2. Step 2: Convert to fraction form
    4,532.65/6,795.33 = 4,168.15/x
  3. Step 3: Cross multiply
    4,532.65x = 6,795.33 × 4,168.15
  4. Step 4: Simplify right side
    4,532.65x = 28,323,954.74
  5. Step 5: Solve for x
    x = 28,323,954.74/4,532.65
  6. Step 6: Final answer
    x = 6,248.87

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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.