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Finding the Fourth Proportional to 3,690.11, 5,530.30 and 1,497.65

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Solution

The fourth proportional to 3,690.11, 5,530.30 and 1,497.65 is: 2,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.11 : 5,530.30 = 1,497.65 : x
  2. Step 2: Convert to fraction form
    3,690.11/5,530.30 = 1,497.65/x
  3. Step 3: Cross multiply
    3,690.11x = 5,530.30 × 1,497.65
  4. Step 4: Simplify right side
    3,690.11x = 8,282,453.80
  5. Step 5: Solve for x
    x = 8,282,453.80/3,690.11
  6. Step 6: Final answer
    x = 2,244.50

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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.