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Finding the Fourth Proportional to 5,943.68, 8,202 and 3,585.28

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Solution

The fourth proportional to 5,943.68, 8,202 and 3,585.28 is: 4,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.68 : 8,202 = 3,585.28 : x
  2. Step 2: Convert to fraction form
    5,943.68/8,202 = 3,585.28/x
  3. Step 3: Cross multiply
    5,943.68x = 8,202 × 3,585.28
  4. Step 4: Simplify right side
    5,943.68x = 29,406,466.56
  5. Step 5: Solve for x
    x = 29,406,466.56/5,943.68
  6. Step 6: Final answer
    x = 4,947.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.