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Finding the Fourth Proportional to 6,048.46, 8,344.49 and 3,494.53

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Solution

The fourth proportional to 6,048.46, 8,344.49 and 3,494.53 is: 4,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.46 : 8,344.49 = 3,494.53 : x
  2. Step 2: Convert to fraction form
    6,048.46/8,344.49 = 3,494.53/x
  3. Step 3: Cross multiply
    6,048.46x = 8,344.49 × 3,494.53
  4. Step 4: Simplify right side
    6,048.46x = 29,160,070.64
  5. Step 5: Solve for x
    x = 29,160,070.64/6,048.46
  6. Step 6: Final answer
    x = 4,821.07

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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.