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Finding the Fourth Proportional to 5,661.40, 8,500.20 and 4,284.40

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Solution

The fourth proportional to 5,661.40, 8,500.20 and 4,284.40 is: 6,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.40 : 8,500.20 = 4,284.40 : x
  2. Step 2: Convert to fraction form
    5,661.40/8,500.20 = 4,284.40/x
  3. Step 3: Cross multiply
    5,661.40x = 8,500.20 × 4,284.40
  4. Step 4: Simplify right side
    5,661.40x = 36,418,256.88
  5. Step 5: Solve for x
    x = 36,418,256.88/5,661.40
  6. Step 6: Final answer
    x = 6,432.73

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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.