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Finding the Fourth Proportional to 3,815.57, 5,265.52 and 2,323.22

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Solution

The fourth proportional to 3,815.57, 5,265.52 and 2,323.22 is: 3,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.57 : 5,265.52 = 2,323.22 : x
  2. Step 2: Convert to fraction form
    3,815.57/5,265.52 = 2,323.22/x
  3. Step 3: Cross multiply
    3,815.57x = 5,265.52 × 2,323.22
  4. Step 4: Simplify right side
    3,815.57x = 12,232,929.24
  5. Step 5: Solve for x
    x = 12,232,929.24/3,815.57
  6. Step 6: Final answer
    x = 3,206.05

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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.