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Finding the Fourth Proportional to 3,438.09, 4,744.56 and 1,866.21

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Solution

The fourth proportional to 3,438.09, 4,744.56 and 1,866.21 is: 2,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.09 : 4,744.56 = 1,866.21 : x
  2. Step 2: Convert to fraction form
    3,438.09/4,744.56 = 1,866.21/x
  3. Step 3: Cross multiply
    3,438.09x = 4,744.56 × 1,866.21
  4. Step 4: Simplify right side
    3,438.09x = 8,854,345.32
  5. Step 5: Solve for x
    x = 8,854,345.32/3,438.09
  6. Step 6: Final answer
    x = 2,575.37

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