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Finding the Fourth Proportional to 5,868, 8,102.16 and 4,001.76

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Solution

The fourth proportional to 5,868, 8,102.16 and 4,001.76 is: 5,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868 : 8,102.16 = 4,001.76 : x
  2. Step 2: Convert to fraction form
    5,868/8,102.16 = 4,001.76/x
  3. Step 3: Cross multiply
    5,868x = 8,102.16 × 4,001.76
  4. Step 4: Simplify right side
    5,868x = 32,422,899.80
  5. Step 5: Solve for x
    x = 32,422,899.80/5,868
  6. Step 6: Final answer
    x = 5,525.37

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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.