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Finding the Fourth Proportional to 3,534.44, 5,271.13 and 3,017.72

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Solution

The fourth proportional to 3,534.44, 5,271.13 and 3,017.72 is: 4,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.44 : 5,271.13 = 3,017.72 : x
  2. Step 2: Convert to fraction form
    3,534.44/5,271.13 = 3,017.72/x
  3. Step 3: Cross multiply
    3,534.44x = 5,271.13 × 3,017.72
  4. Step 4: Simplify right side
    3,534.44x = 15,906,794.42
  5. Step 5: Solve for x
    x = 15,906,794.42/3,534.44
  6. Step 6: Final answer
    x = 4,500.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.