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Finding the Fourth Proportional to 4,363.08, 6,543 and 1,588.98

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Solution

The fourth proportional to 4,363.08, 6,543 and 1,588.98 is: 2,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.08 : 6,543 = 1,588.98 : x
  2. Step 2: Convert to fraction form
    4,363.08/6,543 = 1,588.98/x
  3. Step 3: Cross multiply
    4,363.08x = 6,543 × 1,588.98
  4. Step 4: Simplify right side
    4,363.08x = 10,396,696.14
  5. Step 5: Solve for x
    x = 10,396,696.14/4,363.08
  6. Step 6: Final answer
    x = 2,382.88

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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.