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Finding the Fourth Proportional to 6,144.40, 8,472.57 and 4,151.50

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Solution

The fourth proportional to 6,144.40, 8,472.57 and 4,151.50 is: 5,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.40 : 8,472.57 = 4,151.50 : x
  2. Step 2: Convert to fraction form
    6,144.40/8,472.57 = 4,151.50/x
  3. Step 3: Cross multiply
    6,144.40x = 8,472.57 × 4,151.50
  4. Step 4: Simplify right side
    6,144.40x = 35,173,874.36
  5. Step 5: Solve for x
    x = 35,173,874.36/6,144.40
  6. Step 6: Final answer
    x = 5,724.54

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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.