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Finding the Fourth Proportional to 5,853.38, 8,078.28 and 3,496.82

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Solution

The fourth proportional to 5,853.38, 8,078.28 and 3,496.82 is: 4,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.38 : 8,078.28 = 3,496.82 : x
  2. Step 2: Convert to fraction form
    5,853.38/8,078.28 = 3,496.82/x
  3. Step 3: Cross multiply
    5,853.38x = 8,078.28 × 3,496.82
  4. Step 4: Simplify right side
    5,853.38x = 28,248,291.07
  5. Step 5: Solve for x
    x = 28,248,291.07/5,853.38
  6. Step 6: Final answer
    x = 4,825.98

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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.