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Finding the Fourth Proportional to 6,038.24, 9,049.32 and 3,266

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Solution

The fourth proportional to 6,038.24, 9,049.32 and 3,266 is: 4,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.24 : 9,049.32 = 3,266 : x
  2. Step 2: Convert to fraction form
    6,038.24/9,049.32 = 3,266/x
  3. Step 3: Cross multiply
    6,038.24x = 9,049.32 × 3,266
  4. Step 4: Simplify right side
    6,038.24x = 29,555,079.12
  5. Step 5: Solve for x
    x = 29,555,079.12/6,038.24
  6. Step 6: Final answer
    x = 4,894.65

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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.