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Finding the Fourth Proportional to 5,337.45, 8,002.57 and 2,565.45

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Solution

The fourth proportional to 5,337.45, 8,002.57 and 2,565.45 is: 3,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.45 : 8,002.57 = 2,565.45 : x
  2. Step 2: Convert to fraction form
    5,337.45/8,002.57 = 2,565.45/x
  3. Step 3: Cross multiply
    5,337.45x = 8,002.57 × 2,565.45
  4. Step 4: Simplify right side
    5,337.45x = 20,530,193.21
  5. Step 5: Solve for x
    x = 20,530,193.21/5,337.45
  6. Step 6: Final answer
    x = 3,846.44

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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.