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Finding the Fourth Proportional to 3,793.75, 5,232.80 and 2,465.08

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Solution

The fourth proportional to 3,793.75, 5,232.80 and 2,465.08 is: 3,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.75 : 5,232.80 = 2,465.08 : x
  2. Step 2: Convert to fraction form
    3,793.75/5,232.80 = 2,465.08/x
  3. Step 3: Cross multiply
    3,793.75x = 5,232.80 × 2,465.08
  4. Step 4: Simplify right side
    3,793.75x = 12,899,270.62
  5. Step 5: Solve for x
    x = 12,899,270.62/3,793.75
  6. Step 6: Final answer
    x = 3,400.14

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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.