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Finding the Fourth Proportional to 3,438.06, 4,744.55 and 1,866.16

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Solution

The fourth proportional to 3,438.06, 4,744.55 and 1,866.16 is: 2,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.06 : 4,744.55 = 1,866.16 : x
  2. Step 2: Convert to fraction form
    3,438.06/4,744.55 = 1,866.16/x
  3. Step 3: Cross multiply
    3,438.06x = 4,744.55 × 1,866.16
  4. Step 4: Simplify right side
    3,438.06x = 8,854,068.09
  5. Step 5: Solve for x
    x = 8,854,068.09/3,438.06
  6. Step 6: Final answer
    x = 2,575.31

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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.