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Finding the Fourth Proportional to 4,626.90, 6,385.68 and 2,859.12

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Solution

The fourth proportional to 4,626.90, 6,385.68 and 2,859.12 is: 3,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.90 : 6,385.68 = 2,859.12 : x
  2. Step 2: Convert to fraction form
    4,626.90/6,385.68 = 2,859.12/x
  3. Step 3: Cross multiply
    4,626.90x = 6,385.68 × 2,859.12
  4. Step 4: Simplify right side
    4,626.90x = 18,257,425.40
  5. Step 5: Solve for x
    x = 18,257,425.40/4,626.90
  6. Step 6: Final answer
    x = 3,945.93

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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.