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Finding the Fourth Proportional to 3,815.04, 5,722.56 and 2,641.38

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Solution

The fourth proportional to 3,815.04, 5,722.56 and 2,641.38 is: 3,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.04 : 5,722.56 = 2,641.38 : x
  2. Step 2: Convert to fraction form
    3,815.04/5,722.56 = 2,641.38/x
  3. Step 3: Cross multiply
    3,815.04x = 5,722.56 × 2,641.38
  4. Step 4: Simplify right side
    3,815.04x = 15,115,455.53
  5. Step 5: Solve for x
    x = 15,115,455.53/3,815.04
  6. Step 6: Final answer
    x = 3,962.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.