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Finding the Fourth Proportional to 5,971.11, 8,956.04 and 1,528.80

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Solution

The fourth proportional to 5,971.11, 8,956.04 and 1,528.80 is: 2,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.11 : 8,956.04 = 1,528.80 : x
  2. Step 2: Convert to fraction form
    5,971.11/8,956.04 = 1,528.80/x
  3. Step 3: Cross multiply
    5,971.11x = 8,956.04 × 1,528.80
  4. Step 4: Simplify right side
    5,971.11x = 13,691,986.31
  5. Step 5: Solve for x
    x = 13,691,986.31/5,971.11
  6. Step 6: Final answer
    x = 2,293.04

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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.