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Finding the Fourth Proportional to 5,468.95, 8,193.52 and 2,509.86

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Solution

The fourth proportional to 5,468.95, 8,193.52 and 2,509.86 is: 3,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.95 : 8,193.52 = 2,509.86 : x
  2. Step 2: Convert to fraction form
    5,468.95/8,193.52 = 2,509.86/x
  3. Step 3: Cross multiply
    5,468.95x = 8,193.52 × 2,509.86
  4. Step 4: Simplify right side
    5,468.95x = 20,564,621.97
  5. Step 5: Solve for x
    x = 20,564,621.97/5,468.95
  6. Step 6: Final answer
    x = 3,760.25

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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.