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Finding the Fourth Proportional to 3,766.38, 5,199.39 and 2,509.53

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Solution

The fourth proportional to 3,766.38, 5,199.39 and 2,509.53 is: 3,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.38 : 5,199.39 = 2,509.53 : x
  2. Step 2: Convert to fraction form
    3,766.38/5,199.39 = 2,509.53/x
  3. Step 3: Cross multiply
    3,766.38x = 5,199.39 × 2,509.53
  4. Step 4: Simplify right side
    3,766.38x = 13,048,025.19
  5. Step 5: Solve for x
    x = 13,048,025.19/3,766.38
  6. Step 6: Final answer
    x = 3,464.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.