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Finding the Fourth Proportional to 3,454.38, 5,178.13 and 2,762.24

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Solution

The fourth proportional to 3,454.38, 5,178.13 and 2,762.24 is: 4,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.38 : 5,178.13 = 2,762.24 : x
  2. Step 2: Convert to fraction form
    3,454.38/5,178.13 = 2,762.24/x
  3. Step 3: Cross multiply
    3,454.38x = 5,178.13 × 2,762.24
  4. Step 4: Simplify right side
    3,454.38x = 14,303,205.01
  5. Step 5: Solve for x
    x = 14,303,205.01/3,454.38
  6. Step 6: Final answer
    x = 4,140.60

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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.