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Finding the Fourth Proportional to 5,971.68, 8,956.52 and 1,810.69

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Solution

The fourth proportional to 5,971.68, 8,956.52 and 1,810.69 is: 2,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.68 : 8,956.52 = 1,810.69 : x
  2. Step 2: Convert to fraction form
    5,971.68/8,956.52 = 1,810.69/x
  3. Step 3: Cross multiply
    5,971.68x = 8,956.52 × 1,810.69
  4. Step 4: Simplify right side
    5,971.68x = 16,217,499.06
  5. Step 5: Solve for x
    x = 16,217,499.06/5,971.68
  6. Step 6: Final answer
    x = 2,715.73

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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.