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Finding the Fourth Proportional to 5,267.16, 7,271.16 and 3,381.48

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Solution

The fourth proportional to 5,267.16, 7,271.16 and 3,381.48 is: 4,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.16 : 7,271.16 = 3,381.48 : x
  2. Step 2: Convert to fraction form
    5,267.16/7,271.16 = 3,381.48/x
  3. Step 3: Cross multiply
    5,267.16x = 7,271.16 × 3,381.48
  4. Step 4: Simplify right side
    5,267.16x = 24,587,282.12
  5. Step 5: Solve for x
    x = 24,587,282.12/5,267.16
  6. Step 6: Final answer
    x = 4,668.03

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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.