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Finding the Fourth Proportional to 4,685.16, 7,019.54 and 4,176.68

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Solution

The fourth proportional to 4,685.16, 7,019.54 and 4,176.68 is: 6,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.16 : 7,019.54 = 4,176.68 : x
  2. Step 2: Convert to fraction form
    4,685.16/7,019.54 = 4,176.68/x
  3. Step 3: Cross multiply
    4,685.16x = 7,019.54 × 4,176.68
  4. Step 4: Simplify right side
    4,685.16x = 29,318,351.44
  5. Step 5: Solve for x
    x = 29,318,351.44/4,685.16
  6. Step 6: Final answer
    x = 6,257.71

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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.