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Finding the Fourth Proportional to 5,530.98, 8,292.16 and 3,771.63

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Solution

The fourth proportional to 5,530.98, 8,292.16 and 3,771.63 is: 5,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.98 : 8,292.16 = 3,771.63 : x
  2. Step 2: Convert to fraction form
    5,530.98/8,292.16 = 3,771.63/x
  3. Step 3: Cross multiply
    5,530.98x = 8,292.16 × 3,771.63
  4. Step 4: Simplify right side
    5,530.98x = 31,274,964.14
  5. Step 5: Solve for x
    x = 31,274,964.14/5,530.98
  6. Step 6: Final answer
    x = 5,654.50

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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.