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Finding the Fourth Proportional to 5,208.27, 7,812.18 and 1,510.42

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Solution

The fourth proportional to 5,208.27, 7,812.18 and 1,510.42 is: 2,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.27 : 7,812.18 = 1,510.42 : x
  2. Step 2: Convert to fraction form
    5,208.27/7,812.18 = 1,510.42/x
  3. Step 3: Cross multiply
    5,208.27x = 7,812.18 × 1,510.42
  4. Step 4: Simplify right side
    5,208.27x = 11,799,672.92
  5. Step 5: Solve for x
    x = 11,799,672.92/5,208.27
  6. Step 6: Final answer
    x = 2,265.56

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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.