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Finding the Fourth Proportional to 5,202.30, 7,803.99 and 1,915.38

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Solution

The fourth proportional to 5,202.30, 7,803.99 and 1,915.38 is: 2,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.30 : 7,803.99 = 1,915.38 : x
  2. Step 2: Convert to fraction form
    5,202.30/7,803.99 = 1,915.38/x
  3. Step 3: Cross multiply
    5,202.30x = 7,803.99 × 1,915.38
  4. Step 4: Simplify right side
    5,202.30x = 14,947,606.37
  5. Step 5: Solve for x
    x = 14,947,606.37/5,202.30
  6. Step 6: Final answer
    x = 2,873.27

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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.