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Finding the Fourth Proportional to 5,681.57, 7,842.71 and 3,324.47

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Solution

The fourth proportional to 5,681.57, 7,842.71 and 3,324.47 is: 4,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.57 : 7,842.71 = 3,324.47 : x
  2. Step 2: Convert to fraction form
    5,681.57/7,842.71 = 3,324.47/x
  3. Step 3: Cross multiply
    5,681.57x = 7,842.71 × 3,324.47
  4. Step 4: Simplify right side
    5,681.57x = 26,072,837.49
  5. Step 5: Solve for x
    x = 26,072,837.49/5,681.57
  6. Step 6: Final answer
    x = 4,589.02

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1.5x scale

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.