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Finding the Fourth Proportional to 5,202.53, 7,799.40 and 2,427.74

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Solution

The fourth proportional to 5,202.53, 7,799.40 and 2,427.74 is: 3,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.53 : 7,799.40 = 2,427.74 : x
  2. Step 2: Convert to fraction form
    5,202.53/7,799.40 = 2,427.74/x
  3. Step 3: Cross multiply
    5,202.53x = 7,799.40 × 2,427.74
  4. Step 4: Simplify right side
    5,202.53x = 18,934,876.36
  5. Step 5: Solve for x
    x = 18,934,876.36/5,202.53
  6. Step 6: Final answer
    x = 3,639.56

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1.5x scale

Why These Related Problems?

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