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Finding the Fourth Proportional to 6,524.40, 9,778.32 and 3,560.88

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Solution

The fourth proportional to 6,524.40, 9,778.32 and 3,560.88 is: 5,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.40 : 9,778.32 = 3,560.88 : x
  2. Step 2: Convert to fraction form
    6,524.40/9,778.32 = 3,560.88/x
  3. Step 3: Cross multiply
    6,524.40x = 9,778.32 × 3,560.88
  4. Step 4: Simplify right side
    6,524.40x = 34,819,424.12
  5. Step 5: Solve for x
    x = 34,819,424.12/6,524.40
  6. Step 6: Final answer
    x = 5,336.80

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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.