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Finding the Fourth Proportional to 5,248.26, 7,870.16 and 1,959.05

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Solution

The fourth proportional to 5,248.26, 7,870.16 and 1,959.05 is: 2,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.26 : 7,870.16 = 1,959.05 : x
  2. Step 2: Convert to fraction form
    5,248.26/7,870.16 = 1,959.05/x
  3. Step 3: Cross multiply
    5,248.26x = 7,870.16 × 1,959.05
  4. Step 4: Simplify right side
    5,248.26x = 15,418,061.52
  5. Step 5: Solve for x
    x = 15,418,061.52/5,248.26
  6. Step 6: Final answer
    x = 2,937.75

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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.