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Finding the Fourth Proportional to 5,164.48, 7,746.73 and 2,045.22

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Solution

The fourth proportional to 5,164.48, 7,746.73 and 2,045.22 is: 3,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.48 : 7,746.73 = 2,045.22 : x
  2. Step 2: Convert to fraction form
    5,164.48/7,746.73 = 2,045.22/x
  3. Step 3: Cross multiply
    5,164.48x = 7,746.73 × 2,045.22
  4. Step 4: Simplify right side
    5,164.48x = 15,843,742.65
  5. Step 5: Solve for x
    x = 15,843,742.65/5,164.48
  6. Step 6: Final answer
    x = 3,067.83

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1.5x scale

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.