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Finding the Fourth Proportional to 6,123.85, 8,451.58 and 3,470.98

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Solution

The fourth proportional to 6,123.85, 8,451.58 and 3,470.98 is: 4,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.85 : 8,451.58 = 3,470.98 : x
  2. Step 2: Convert to fraction form
    6,123.85/8,451.58 = 3,470.98/x
  3. Step 3: Cross multiply
    6,123.85x = 8,451.58 × 3,470.98
  4. Step 4: Simplify right side
    6,123.85x = 29,335,205.54
  5. Step 5: Solve for x
    x = 29,335,205.54/6,123.85
  6. Step 6: Final answer
    x = 4,790.32

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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.