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Finding the Fourth Proportional to 3,870.57, 5,339.43 and 2,451.90

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Solution

The fourth proportional to 3,870.57, 5,339.43 and 2,451.90 is: 3,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.57 : 5,339.43 = 2,451.90 : x
  2. Step 2: Convert to fraction form
    3,870.57/5,339.43 = 2,451.90/x
  3. Step 3: Cross multiply
    3,870.57x = 5,339.43 × 2,451.90
  4. Step 4: Simplify right side
    3,870.57x = 13,091,748.42
  5. Step 5: Solve for x
    x = 13,091,748.42/3,870.57
  6. Step 6: Final answer
    x = 3,382.38

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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.