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Finding the Fourth Proportional to 4,824.82, 6,654.27 and 4,055.38

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Solution

The fourth proportional to 4,824.82, 6,654.27 and 4,055.38 is: 5,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.82 : 6,654.27 = 4,055.38 : x
  2. Step 2: Convert to fraction form
    4,824.82/6,654.27 = 4,055.38/x
  3. Step 3: Cross multiply
    4,824.82x = 6,654.27 × 4,055.38
  4. Step 4: Simplify right side
    4,824.82x = 26,985,593.47
  5. Step 5: Solve for x
    x = 26,985,593.47/4,824.82
  6. Step 6: Final answer
    x = 5,593.08

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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.