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Finding the Fourth Proportional to 3,247.69, 4,872.67 and 1,026.87

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Solution

The fourth proportional to 3,247.69, 4,872.67 and 1,026.87 is: 1,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.69 : 4,872.67 = 1,026.87 : x
  2. Step 2: Convert to fraction form
    3,247.69/4,872.67 = 1,026.87/x
  3. Step 3: Cross multiply
    3,247.69x = 4,872.67 × 1,026.87
  4. Step 4: Simplify right side
    3,247.69x = 5,003,598.64
  5. Step 5: Solve for x
    x = 5,003,598.64/3,247.69
  6. Step 6: Final answer
    x = 1,540.66

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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.