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Finding the Fourth Proportional to 5,103.74, 7,648.88 and 4,770.79

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Solution

The fourth proportional to 5,103.74, 7,648.88 and 4,770.79 is: 7,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.74 : 7,648.88 = 4,770.79 : x
  2. Step 2: Convert to fraction form
    5,103.74/7,648.88 = 4,770.79/x
  3. Step 3: Cross multiply
    5,103.74x = 7,648.88 × 4,770.79
  4. Step 4: Simplify right side
    5,103.74x = 36,491,219.01
  5. Step 5: Solve for x
    x = 36,491,219.01/5,103.74
  6. Step 6: Final answer
    x = 7,149.90

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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.