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Finding the Fourth Proportional to 5,827, 8,041.98 and 3,343

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Solution

The fourth proportional to 5,827, 8,041.98 and 3,343 is: 4,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827 : 8,041.98 = 3,343 : x
  2. Step 2: Convert to fraction form
    5,827/8,041.98 = 3,343/x
  3. Step 3: Cross multiply
    5,827x = 8,041.98 × 3,343
  4. Step 4: Simplify right side
    5,827x = 26,884,339.14
  5. Step 5: Solve for x
    x = 26,884,339.14/5,827
  6. Step 6: Final answer
    x = 4,613.75

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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.