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Finding the Fourth Proportional to 3,164.93, 4,747.38 and 856.43

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Solution

The fourth proportional to 3,164.93, 4,747.38 and 856.43 is: 1,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.93 : 4,747.38 = 856.43 : x
  2. Step 2: Convert to fraction form
    3,164.93/4,747.38 = 856.43/x
  3. Step 3: Cross multiply
    3,164.93x = 4,747.38 × 856.43
  4. Step 4: Simplify right side
    3,164.93x = 4,065,798.65
  5. Step 5: Solve for x
    x = 4,065,798.65/3,164.93
  6. Step 6: Final answer
    x = 1,284.64

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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.