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Finding the Fourth Proportional to 3,872.16, 5,807.66 and 1,239.98

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Solution

The fourth proportional to 3,872.16, 5,807.66 and 1,239.98 is: 1,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.16 : 5,807.66 = 1,239.98 : x
  2. Step 2: Convert to fraction form
    3,872.16/5,807.66 = 1,239.98/x
  3. Step 3: Cross multiply
    3,872.16x = 5,807.66 × 1,239.98
  4. Step 4: Simplify right side
    3,872.16x = 7,201,347.01
  5. Step 5: Solve for x
    x = 7,201,347.01/3,872.16
  6. Step 6: Final answer
    x = 1,859.78

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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.