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Finding the Fourth Proportional to 5,537.62, 8,279.70 and 5,406.40

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Solution

The fourth proportional to 5,537.62, 8,279.70 and 5,406.40 is: 8,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.62 : 8,279.70 = 5,406.40 : x
  2. Step 2: Convert to fraction form
    5,537.62/8,279.70 = 5,406.40/x
  3. Step 3: Cross multiply
    5,537.62x = 8,279.70 × 5,406.40
  4. Step 4: Simplify right side
    5,537.62x = 44,763,370.08
  5. Step 5: Solve for x
    x = 44,763,370.08/5,537.62
  6. Step 6: Final answer
    x = 8,083.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.