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Finding the Fourth Proportional to 6,385.40, 9,578.10 and 3,104.90

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Solution

The fourth proportional to 6,385.40, 9,578.10 and 3,104.90 is: 4,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.40 : 9,578.10 = 3,104.90 : x
  2. Step 2: Convert to fraction form
    6,385.40/9,578.10 = 3,104.90/x
  3. Step 3: Cross multiply
    6,385.40x = 9,578.10 × 3,104.90
  4. Step 4: Simplify right side
    6,385.40x = 29,739,042.69
  5. Step 5: Solve for x
    x = 29,739,042.69/6,385.40
  6. Step 6: Final answer
    x = 4,657.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.