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Finding the Fourth Proportional to 5,673.76, 8,524.02 and 3,339.76

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Solution

The fourth proportional to 5,673.76, 8,524.02 and 3,339.76 is: 5,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.76 : 8,524.02 = 3,339.76 : x
  2. Step 2: Convert to fraction form
    5,673.76/8,524.02 = 3,339.76/x
  3. Step 3: Cross multiply
    5,673.76x = 8,524.02 × 3,339.76
  4. Step 4: Simplify right side
    5,673.76x = 28,468,181.04
  5. Step 5: Solve for x
    x = 28,468,181.04/5,673.76
  6. Step 6: Final answer
    x = 5,017.52

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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.