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Finding the Fourth Proportional to 5,115.32, 7,674.10 and 1,652.60

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Solution

The fourth proportional to 5,115.32, 7,674.10 and 1,652.60 is: 2,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.32 : 7,674.10 = 1,652.60 : x
  2. Step 2: Convert to fraction form
    5,115.32/7,674.10 = 1,652.60/x
  3. Step 3: Cross multiply
    5,115.32x = 7,674.10 × 1,652.60
  4. Step 4: Simplify right side
    5,115.32x = 12,682,217.66
  5. Step 5: Solve for x
    x = 12,682,217.66/5,115.32
  6. Step 6: Final answer
    x = 2,479.26

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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.