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Finding the Fourth Proportional to 5,711.93, 8,570.17 and 2,014.54

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Solution

The fourth proportional to 5,711.93, 8,570.17 and 2,014.54 is: 3,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.93 : 8,570.17 = 2,014.54 : x
  2. Step 2: Convert to fraction form
    5,711.93/8,570.17 = 2,014.54/x
  3. Step 3: Cross multiply
    5,711.93x = 8,570.17 × 2,014.54
  4. Step 4: Simplify right side
    5,711.93x = 17,264,931.36
  5. Step 5: Solve for x
    x = 17,264,931.36/5,711.93
  6. Step 6: Final answer
    x = 3,022.61

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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.