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Finding the Fourth Proportional to 6,021.66, 8,291.43 and 5,271.42

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Solution

The fourth proportional to 6,021.66, 8,291.43 and 5,271.42 is: 7,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.66 : 8,291.43 = 5,271.42 : x
  2. Step 2: Convert to fraction form
    6,021.66/8,291.43 = 5,271.42/x
  3. Step 3: Cross multiply
    6,021.66x = 8,291.43 × 5,271.42
  4. Step 4: Simplify right side
    6,021.66x = 43,707,609.93
  5. Step 5: Solve for x
    x = 43,707,609.93/6,021.66
  6. Step 6: Final answer
    x = 7,258.40

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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.