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Finding the Fourth Proportional to 5,202.38, 7,804.34 and 1,915.22

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Solution

The fourth proportional to 5,202.38, 7,804.34 and 1,915.22 is: 2,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.38 : 7,804.34 = 1,915.22 : x
  2. Step 2: Convert to fraction form
    5,202.38/7,804.34 = 1,915.22/x
  3. Step 3: Cross multiply
    5,202.38x = 7,804.34 × 1,915.22
  4. Step 4: Simplify right side
    5,202.38x = 14,946,986.64
  5. Step 5: Solve for x
    x = 14,946,986.64/5,202.38
  6. Step 6: Final answer
    x = 2,873.11

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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.