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Finding the Fourth Proportional to 3,833.84, 5,290.46 and 2,155.22

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Solution

The fourth proportional to 3,833.84, 5,290.46 and 2,155.22 is: 2,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.84 : 5,290.46 = 2,155.22 : x
  2. Step 2: Convert to fraction form
    3,833.84/5,290.46 = 2,155.22/x
  3. Step 3: Cross multiply
    3,833.84x = 5,290.46 × 2,155.22
  4. Step 4: Simplify right side
    3,833.84x = 11,402,104.71
  5. Step 5: Solve for x
    x = 11,402,104.71/3,833.84
  6. Step 6: Final answer
    x = 2,974.07

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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.