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Finding the Fourth Proportional to 5,138.16, 7,698.39 and 3,468.61

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Solution

The fourth proportional to 5,138.16, 7,698.39 and 3,468.61 is: 5,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.16 : 7,698.39 = 3,468.61 : x
  2. Step 2: Convert to fraction form
    5,138.16/7,698.39 = 3,468.61/x
  3. Step 3: Cross multiply
    5,138.16x = 7,698.39 × 3,468.61
  4. Step 4: Simplify right side
    5,138.16x = 26,702,674.05
  5. Step 5: Solve for x
    x = 26,702,674.05/5,138.16
  6. Step 6: Final answer
    x = 5,196.94

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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.