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Finding the Fourth Proportional to 6,057.30, 8,367.57 and 4,677.78

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Solution

The fourth proportional to 6,057.30, 8,367.57 and 4,677.78 is: 6,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.30 : 8,367.57 = 4,677.78 : x
  2. Step 2: Convert to fraction form
    6,057.30/8,367.57 = 4,677.78/x
  3. Step 3: Cross multiply
    6,057.30x = 8,367.57 × 4,677.78
  4. Step 4: Simplify right side
    6,057.30x = 39,141,651.59
  5. Step 5: Solve for x
    x = 39,141,651.59/6,057.30
  6. Step 6: Final answer
    x = 6,461.90

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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.