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Finding the Fourth Proportional to 3,513.38, 4,848.66 and 2,992.14

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Solution

The fourth proportional to 3,513.38, 4,848.66 and 2,992.14 is: 4,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.38 : 4,848.66 = 2,992.14 : x
  2. Step 2: Convert to fraction form
    3,513.38/4,848.66 = 2,992.14/x
  3. Step 3: Cross multiply
    3,513.38x = 4,848.66 × 2,992.14
  4. Step 4: Simplify right side
    3,513.38x = 14,507,869.53
  5. Step 5: Solve for x
    x = 14,507,869.53/3,513.38
  6. Step 6: Final answer
    x = 4,129.33

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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.