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Finding the Fourth Proportional to 3,870.96, 5,335.86 and 3,240.36

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Solution

The fourth proportional to 3,870.96, 5,335.86 and 3,240.36 is: 4,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.96 : 5,335.86 = 3,240.36 : x
  2. Step 2: Convert to fraction form
    3,870.96/5,335.86 = 3,240.36/x
  3. Step 3: Cross multiply
    3,870.96x = 5,335.86 × 3,240.36
  4. Step 4: Simplify right side
    3,870.96x = 17,290,107.31
  5. Step 5: Solve for x
    x = 17,290,107.31/3,870.96
  6. Step 6: Final answer
    x = 4,466.62

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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.