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Finding the Fourth Proportional to 5,868, 8,098.56 and 3,384

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Solution

The fourth proportional to 5,868, 8,098.56 and 3,384 is: 4,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868 : 8,098.56 = 3,384 : x
  2. Step 2: Convert to fraction form
    5,868/8,098.56 = 3,384/x
  3. Step 3: Cross multiply
    5,868x = 8,098.56 × 3,384
  4. Step 4: Simplify right side
    5,868x = 27,405,527.04
  5. Step 5: Solve for x
    x = 27,405,527.04/5,868
  6. Step 6: Final answer
    x = 4,670.34

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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.