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Finding the Fourth Proportional to 6,450, 8,902.16 and 3,655.52

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Solution

The fourth proportional to 6,450, 8,902.16 and 3,655.52 is: 5,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450 : 8,902.16 = 3,655.52 : x
  2. Step 2: Convert to fraction form
    6,450/8,902.16 = 3,655.52/x
  3. Step 3: Cross multiply
    6,450x = 8,902.16 × 3,655.52
  4. Step 4: Simplify right side
    6,450x = 32,542,023.92
  5. Step 5: Solve for x
    x = 32,542,023.92/6,450
  6. Step 6: Final answer
    x = 5,045.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.