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Finding the Fourth Proportional to 3,497.50, 5,246.28 and 2,201.50

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Solution

The fourth proportional to 3,497.50, 5,246.28 and 2,201.50 is: 3,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.50 : 5,246.28 = 2,201.50 : x
  2. Step 2: Convert to fraction form
    3,497.50/5,246.28 = 2,201.50/x
  3. Step 3: Cross multiply
    3,497.50x = 5,246.28 × 2,201.50
  4. Step 4: Simplify right side
    3,497.50x = 11,549,685.42
  5. Step 5: Solve for x
    x = 11,549,685.42/3,497.50
  6. Step 6: Final answer
    x = 3,302.27

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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.