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Finding the Fourth Proportional to 5,309.67, 7,328.22 and 5,169.27

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Solution

The fourth proportional to 5,309.67, 7,328.22 and 5,169.27 is: 7,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.67 : 7,328.22 = 5,169.27 : x
  2. Step 2: Convert to fraction form
    5,309.67/7,328.22 = 5,169.27/x
  3. Step 3: Cross multiply
    5,309.67x = 7,328.22 × 5,169.27
  4. Step 4: Simplify right side
    5,309.67x = 37,881,547.80
  5. Step 5: Solve for x
    x = 37,881,547.80/5,309.67
  6. Step 6: Final answer
    x = 7,134.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.