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Finding the Fourth Proportional to 5,363.57, 8,046.72 and 2,895

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Solution

The fourth proportional to 5,363.57, 8,046.72 and 2,895 is: 4,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.57 : 8,046.72 = 2,895 : x
  2. Step 2: Convert to fraction form
    5,363.57/8,046.72 = 2,895/x
  3. Step 3: Cross multiply
    5,363.57x = 8,046.72 × 2,895
  4. Step 4: Simplify right side
    5,363.57x = 23,295,254.40
  5. Step 5: Solve for x
    x = 23,295,254.40/5,363.57
  6. Step 6: Final answer
    x = 4,343.24

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Why These Related Problems?

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