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Finding the Fourth Proportional to 3,800.25, 5,675.40 and 3,281.31

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Solution

The fourth proportional to 3,800.25, 5,675.40 and 3,281.31 is: 4,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.25 : 5,675.40 = 3,281.31 : x
  2. Step 2: Convert to fraction form
    3,800.25/5,675.40 = 3,281.31/x
  3. Step 3: Cross multiply
    3,800.25x = 5,675.40 × 3,281.31
  4. Step 4: Simplify right side
    3,800.25x = 18,622,746.77
  5. Step 5: Solve for x
    x = 18,622,746.77/3,800.25
  6. Step 6: Final answer
    x = 4,900.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.