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Finding the Fourth Proportional to 5,202.80, 7,805.21 and 1,505.15

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Solution

The fourth proportional to 5,202.80, 7,805.21 and 1,505.15 is: 2,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.80 : 7,805.21 = 1,505.15 : x
  2. Step 2: Convert to fraction form
    5,202.80/7,805.21 = 1,505.15/x
  3. Step 3: Cross multiply
    5,202.80x = 7,805.21 × 1,505.15
  4. Step 4: Simplify right side
    5,202.80x = 11,748,015.59
  5. Step 5: Solve for x
    x = 11,748,015.59/5,202.80
  6. Step 6: Final answer
    x = 2,258.02

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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.