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Finding the Fourth Proportional to 3,438.01, 4,744.46 and 1,866.10

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Solution

The fourth proportional to 3,438.01, 4,744.46 and 1,866.10 is: 2,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.01 : 4,744.46 = 1,866.10 : x
  2. Step 2: Convert to fraction form
    3,438.01/4,744.46 = 1,866.10/x
  3. Step 3: Cross multiply
    3,438.01x = 4,744.46 × 1,866.10
  4. Step 4: Simplify right side
    3,438.01x = 8,853,633.41
  5. Step 5: Solve for x
    x = 8,853,633.41/3,438.01
  6. Step 6: Final answer
    x = 2,575.22

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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.