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Finding the Fourth Proportional to 3,648.30, 5,471.37 and 1,915.98

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Solution

The fourth proportional to 3,648.30, 5,471.37 and 1,915.98 is: 2,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.30 : 5,471.37 = 1,915.98 : x
  2. Step 2: Convert to fraction form
    3,648.30/5,471.37 = 1,915.98/x
  3. Step 3: Cross multiply
    3,648.30x = 5,471.37 × 1,915.98
  4. Step 4: Simplify right side
    3,648.30x = 10,483,035.49
  5. Step 5: Solve for x
    x = 10,483,035.49/3,648.30
  6. Step 6: Final answer
    x = 2,873.40

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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.