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Finding the Fourth Proportional to 5,824.50, 8,037.82 and 3,340.50

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Solution

The fourth proportional to 5,824.50, 8,037.82 and 3,340.50 is: 4,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.50 : 8,037.82 = 3,340.50 : x
  2. Step 2: Convert to fraction form
    5,824.50/8,037.82 = 3,340.50/x
  3. Step 3: Cross multiply
    5,824.50x = 8,037.82 × 3,340.50
  4. Step 4: Simplify right side
    5,824.50x = 26,850,337.71
  5. Step 5: Solve for x
    x = 26,850,337.71/5,824.50
  6. Step 6: Final answer
    x = 4,609.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.