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Finding the Fourth Proportional to 3,549.65, 5,327.65 and 3,536.42

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Solution

The fourth proportional to 3,549.65, 5,327.65 and 3,536.42 is: 5,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.65 : 5,327.65 = 3,536.42 : x
  2. Step 2: Convert to fraction form
    3,549.65/5,327.65 = 3,536.42/x
  3. Step 3: Cross multiply
    3,549.65x = 5,327.65 × 3,536.42
  4. Step 4: Simplify right side
    3,549.65x = 18,840,808.01
  5. Step 5: Solve for x
    x = 18,840,808.01/3,549.65
  6. Step 6: Final answer
    x = 5,307.79

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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.