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Finding the Fourth Proportional to 5,470.50, 8,206.02 and 1,575.22

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Solution

The fourth proportional to 5,470.50, 8,206.02 and 1,575.22 is: 2,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.50 : 8,206.02 = 1,575.22 : x
  2. Step 2: Convert to fraction form
    5,470.50/8,206.02 = 1,575.22/x
  3. Step 3: Cross multiply
    5,470.50x = 8,206.02 × 1,575.22
  4. Step 4: Simplify right side
    5,470.50x = 12,926,286.82
  5. Step 5: Solve for x
    x = 12,926,286.82/5,470.50
  6. Step 6: Final answer
    x = 2,362.91

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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.