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Finding the Fourth Proportional to 5,124.67, 7,685.70 and 2,003.65

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Solution

The fourth proportional to 5,124.67, 7,685.70 and 2,003.65 is: 3,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.67 : 7,685.70 = 2,003.65 : x
  2. Step 2: Convert to fraction form
    5,124.67/7,685.70 = 2,003.65/x
  3. Step 3: Cross multiply
    5,124.67x = 7,685.70 × 2,003.65
  4. Step 4: Simplify right side
    5,124.67x = 15,399,452.81
  5. Step 5: Solve for x
    x = 15,399,452.81/5,124.67
  6. Step 6: Final answer
    x = 3,004.96

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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.