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Finding the Fourth Proportional to 6,144.06, 8,478.54 and 3,491.62

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Solution

The fourth proportional to 6,144.06, 8,478.54 and 3,491.62 is: 4,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.06 : 8,478.54 = 3,491.62 : x
  2. Step 2: Convert to fraction form
    6,144.06/8,478.54 = 3,491.62/x
  3. Step 3: Cross multiply
    6,144.06x = 8,478.54 × 3,491.62
  4. Step 4: Simplify right side
    6,144.06x = 29,603,839.83
  5. Step 5: Solve for x
    x = 29,603,839.83/6,144.06
  6. Step 6: Final answer
    x = 4,818.29

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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.