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Finding the Fourth Proportional to 5,543.10, 8,282.18 and 5,349.31

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Solution

The fourth proportional to 5,543.10, 8,282.18 and 5,349.31 is: 7,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.10 : 8,282.18 = 5,349.31 : x
  2. Step 2: Convert to fraction form
    5,543.10/8,282.18 = 5,349.31/x
  3. Step 3: Cross multiply
    5,543.10x = 8,282.18 × 5,349.31
  4. Step 4: Simplify right side
    5,543.10x = 44,303,948.30
  5. Step 5: Solve for x
    x = 44,303,948.30/5,543.10
  6. Step 6: Final answer
    x = 7,992.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.