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Finding the Fourth Proportional to 5,202.28, 7,807.53 and 2,427.53

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Solution

The fourth proportional to 5,202.28, 7,807.53 and 2,427.53 is: 3,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.28 : 7,807.53 = 2,427.53 : x
  2. Step 2: Convert to fraction form
    5,202.28/7,807.53 = 2,427.53/x
  3. Step 3: Cross multiply
    5,202.28x = 7,807.53 × 2,427.53
  4. Step 4: Simplify right side
    5,202.28x = 18,953,013.30
  5. Step 5: Solve for x
    x = 18,953,013.30/5,202.28
  6. Step 6: Final answer
    x = 3,643.21

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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.