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Finding the Fourth Proportional to 3,600.24, 4,967.64 and 2,202

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Solution

The fourth proportional to 3,600.24, 4,967.64 and 2,202 is: 3,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.24 : 4,967.64 = 2,202 : x
  2. Step 2: Convert to fraction form
    3,600.24/4,967.64 = 2,202/x
  3. Step 3: Cross multiply
    3,600.24x = 4,967.64 × 2,202
  4. Step 4: Simplify right side
    3,600.24x = 10,938,743.28
  5. Step 5: Solve for x
    x = 10,938,743.28/3,600.24
  6. Step 6: Final answer
    x = 3,038.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.