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Finding the Fourth Proportional to 3,465.24, 5,197.50 and 868.18

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Solution

The fourth proportional to 3,465.24, 5,197.50 and 868.18 is: 1,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.24 : 5,197.50 = 868.18 : x
  2. Step 2: Convert to fraction form
    3,465.24/5,197.50 = 868.18/x
  3. Step 3: Cross multiply
    3,465.24x = 5,197.50 × 868.18
  4. Step 4: Simplify right side
    3,465.24x = 4,512,365.55
  5. Step 5: Solve for x
    x = 4,512,365.55/3,465.24
  6. Step 6: Final answer
    x = 1,302.18

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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.