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Finding the Fourth Proportional to 6,046.70, 8,344.76 and 3,528.77

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Solution

The fourth proportional to 6,046.70, 8,344.76 and 3,528.77 is: 4,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.70 : 8,344.76 = 3,528.77 : x
  2. Step 2: Convert to fraction form
    6,046.70/8,344.76 = 3,528.77/x
  3. Step 3: Cross multiply
    6,046.70x = 8,344.76 × 3,528.77
  4. Step 4: Simplify right side
    6,046.70x = 29,446,679.38
  5. Step 5: Solve for x
    x = 29,446,679.38/6,046.70
  6. Step 6: Final answer
    x = 4,869.88

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Why These Related Problems?

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