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Finding the Fourth Proportional to 5,322.03, 7,978.41 and 2,200.08

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Solution

The fourth proportional to 5,322.03, 7,978.41 and 2,200.08 is: 3,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.03 : 7,978.41 = 2,200.08 : x
  2. Step 2: Convert to fraction form
    5,322.03/7,978.41 = 2,200.08/x
  3. Step 3: Cross multiply
    5,322.03x = 7,978.41 × 2,200.08
  4. Step 4: Simplify right side
    5,322.03x = 17,553,140.27
  5. Step 5: Solve for x
    x = 17,553,140.27/5,322.03
  6. Step 6: Final answer
    x = 3,298.20

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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.