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Finding the Fourth Proportional to 3,900.87, 5,382.89 and 2,307.42

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Solution

The fourth proportional to 3,900.87, 5,382.89 and 2,307.42 is: 3,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.87 : 5,382.89 = 2,307.42 : x
  2. Step 2: Convert to fraction form
    3,900.87/5,382.89 = 2,307.42/x
  3. Step 3: Cross multiply
    3,900.87x = 5,382.89 × 2,307.42
  4. Step 4: Simplify right side
    3,900.87x = 12,420,576.51
  5. Step 5: Solve for x
    x = 12,420,576.51/3,900.87
  6. Step 6: Final answer
    x = 3,184.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.