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Finding the Fourth Proportional to 5,339.66, 8,007.44 and 2,565.56

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Solution

The fourth proportional to 5,339.66, 8,007.44 and 2,565.56 is: 3,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.66 : 8,007.44 = 2,565.56 : x
  2. Step 2: Convert to fraction form
    5,339.66/8,007.44 = 2,565.56/x
  3. Step 3: Cross multiply
    5,339.66x = 8,007.44 × 2,565.56
  4. Step 4: Simplify right side
    5,339.66x = 20,543,567.77
  5. Step 5: Solve for x
    x = 20,543,567.77/5,339.66
  6. Step 6: Final answer
    x = 3,847.36

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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.