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Finding the Fourth Proportional to 5,346.49, 8,019.74 and 2,882.47

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Solution

The fourth proportional to 5,346.49, 8,019.74 and 2,882.47 is: 4,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.49 : 8,019.74 = 2,882.47 : x
  2. Step 2: Convert to fraction form
    5,346.49/8,019.74 = 2,882.47/x
  3. Step 3: Cross multiply
    5,346.49x = 8,019.74 × 2,882.47
  4. Step 4: Simplify right side
    5,346.49x = 23,116,625.50
  5. Step 5: Solve for x
    x = 23,116,625.50/5,346.49
  6. Step 6: Final answer
    x = 4,323.70

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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.