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Finding the Fourth Proportional to 5,162.25, 7,744.60 and 1,875.38

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Solution

The fourth proportional to 5,162.25, 7,744.60 and 1,875.38 is: 2,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.25 : 7,744.60 = 1,875.38 : x
  2. Step 2: Convert to fraction form
    5,162.25/7,744.60 = 1,875.38/x
  3. Step 3: Cross multiply
    5,162.25x = 7,744.60 × 1,875.38
  4. Step 4: Simplify right side
    5,162.25x = 14,524,031.57
  5. Step 5: Solve for x
    x = 14,524,031.57/5,162.25
  6. Step 6: Final answer
    x = 2,813.51

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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.