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Finding the Fourth Proportional to 6,346.23, 8,761.76 and 4,078.49

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Solution

The fourth proportional to 6,346.23, 8,761.76 and 4,078.49 is: 5,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.23 : 8,761.76 = 4,078.49 : x
  2. Step 2: Convert to fraction form
    6,346.23/8,761.76 = 4,078.49/x
  3. Step 3: Cross multiply
    6,346.23x = 8,761.76 × 4,078.49
  4. Step 4: Simplify right side
    6,346.23x = 35,734,686.34
  5. Step 5: Solve for x
    x = 35,734,686.34/6,346.23
  6. Step 6: Final answer
    x = 5,630.85

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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.