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Finding the Fourth Proportional to 5,143.82, 7,715.74 and 1,248.22

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Solution

The fourth proportional to 5,143.82, 7,715.74 and 1,248.22 is: 1,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.82 : 7,715.74 = 1,248.22 : x
  2. Step 2: Convert to fraction form
    5,143.82/7,715.74 = 1,248.22/x
  3. Step 3: Cross multiply
    5,143.82x = 7,715.74 × 1,248.22
  4. Step 4: Simplify right side
    5,143.82x = 9,630,965.96
  5. Step 5: Solve for x
    x = 9,630,965.96/5,143.82
  6. Step 6: Final answer
    x = 1,872.34

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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.