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Finding the Fourth Proportional to 5,204.53, 7,806.80 and 3,012.06

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Solution

The fourth proportional to 5,204.53, 7,806.80 and 3,012.06 is: 4,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.53 : 7,806.80 = 3,012.06 : x
  2. Step 2: Convert to fraction form
    5,204.53/7,806.80 = 3,012.06/x
  3. Step 3: Cross multiply
    5,204.53x = 7,806.80 × 3,012.06
  4. Step 4: Simplify right side
    5,204.53x = 23,514,550.01
  5. Step 5: Solve for x
    x = 23,514,550.01/5,204.53
  6. Step 6: Final answer
    x = 4,518.09

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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.