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Finding the Fourth Proportional to 3,833.57, 5,290.52 and 2,155.25

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Solution

The fourth proportional to 3,833.57, 5,290.52 and 2,155.25 is: 2,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.57 : 5,290.52 = 2,155.25 : x
  2. Step 2: Convert to fraction form
    3,833.57/5,290.52 = 2,155.25/x
  3. Step 3: Cross multiply
    3,833.57x = 5,290.52 × 2,155.25
  4. Step 4: Simplify right side
    3,833.57x = 11,402,356.00
  5. Step 5: Solve for x
    x = 11,402,356.00/3,833.57
  6. Step 6: Final answer
    x = 2,974.35

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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.