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Finding the Fourth Proportional to 6,338.73, 8,748.02 and 3,506.77

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Solution

The fourth proportional to 6,338.73, 8,748.02 and 3,506.77 is: 4,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.73 : 8,748.02 = 3,506.77 : x
  2. Step 2: Convert to fraction form
    6,338.73/8,748.02 = 3,506.77/x
  3. Step 3: Cross multiply
    6,338.73x = 8,748.02 × 3,506.77
  4. Step 4: Simplify right side
    6,338.73x = 30,677,294.10
  5. Step 5: Solve for x
    x = 30,677,294.10/6,338.73
  6. Step 6: Final answer
    x = 4,839.66

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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.