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Finding the Fourth Proportional to 4,995.23, 6,888 and 3,402.14

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Solution

The fourth proportional to 4,995.23, 6,888 and 3,402.14 is: 4,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.23 : 6,888 = 3,402.14 : x
  2. Step 2: Convert to fraction form
    4,995.23/6,888 = 3,402.14/x
  3. Step 3: Cross multiply
    4,995.23x = 6,888 × 3,402.14
  4. Step 4: Simplify right side
    4,995.23x = 23,433,905.88
  5. Step 5: Solve for x
    x = 23,433,905.88/4,995.23
  6. Step 6: Final answer
    x = 4,691.26

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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.