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Finding the Fourth Proportional to 5,579.38, 7,702.59 and 3,813.58

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Solution

The fourth proportional to 5,579.38, 7,702.59 and 3,813.58 is: 5,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.38 : 7,702.59 = 3,813.58 : x
  2. Step 2: Convert to fraction form
    5,579.38/7,702.59 = 3,813.58/x
  3. Step 3: Cross multiply
    5,579.38x = 7,702.59 × 3,813.58
  4. Step 4: Simplify right side
    5,579.38x = 29,374,443.17
  5. Step 5: Solve for x
    x = 29,374,443.17/5,579.38
  6. Step 6: Final answer
    x = 5,264.82

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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.