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Finding the Fourth Proportional to 5,144.77, 7,715.95 and 1,447.35

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Solution

The fourth proportional to 5,144.77, 7,715.95 and 1,447.35 is: 2,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.77 : 7,715.95 = 1,447.35 : x
  2. Step 2: Convert to fraction form
    5,144.77/7,715.95 = 1,447.35/x
  3. Step 3: Cross multiply
    5,144.77x = 7,715.95 × 1,447.35
  4. Step 4: Simplify right side
    5,144.77x = 11,167,680.23
  5. Step 5: Solve for x
    x = 11,167,680.23/5,144.77
  6. Step 6: Final answer
    x = 2,170.69

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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.