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Finding the Fourth Proportional to 5,688.65, 7,850.37 and 3,170.92

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Solution

The fourth proportional to 5,688.65, 7,850.37 and 3,170.92 is: 4,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.65 : 7,850.37 = 3,170.92 : x
  2. Step 2: Convert to fraction form
    5,688.65/7,850.37 = 3,170.92/x
  3. Step 3: Cross multiply
    5,688.65x = 7,850.37 × 3,170.92
  4. Step 4: Simplify right side
    5,688.65x = 24,892,875.61
  5. Step 5: Solve for x
    x = 24,892,875.61/5,688.65
  6. Step 6: Final answer
    x = 4,375.89

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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.