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Finding the Fourth Proportional to 3,462.38, 4,778.04 and 1,890.47

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Solution

The fourth proportional to 3,462.38, 4,778.04 and 1,890.47 is: 2,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.38 : 4,778.04 = 1,890.47 : x
  2. Step 2: Convert to fraction form
    3,462.38/4,778.04 = 1,890.47/x
  3. Step 3: Cross multiply
    3,462.38x = 4,778.04 × 1,890.47
  4. Step 4: Simplify right side
    3,462.38x = 9,032,741.28
  5. Step 5: Solve for x
    x = 9,032,741.28/3,462.38
  6. Step 6: Final answer
    x = 2,608.82

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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.