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Finding the Fourth Proportional to 5,711.41, 8,568.69 and 1,964.00

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Solution

The fourth proportional to 5,711.41, 8,568.69 and 1,964.00 is: 2,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.41 : 8,568.69 = 1,964.00 : x
  2. Step 2: Convert to fraction form
    5,711.41/8,568.69 = 1,964.00/x
  3. Step 3: Cross multiply
    5,711.41x = 8,568.69 × 1,964.00
  4. Step 4: Simplify right side
    5,711.41x = 16,828,873.02
  5. Step 5: Solve for x
    x = 16,828,873.02/5,711.41
  6. Step 6: Final answer
    x = 2,946.53

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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.