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Finding the Fourth Proportional to 5,809.44, 8,020 and 4,480.16

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Solution

The fourth proportional to 5,809.44, 8,020 and 4,480.16 is: 6,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.44 : 8,020 = 4,480.16 : x
  2. Step 2: Convert to fraction form
    5,809.44/8,020 = 4,480.16/x
  3. Step 3: Cross multiply
    5,809.44x = 8,020 × 4,480.16
  4. Step 4: Simplify right side
    5,809.44x = 35,930,883.20
  5. Step 5: Solve for x
    x = 35,930,883.20/5,809.44
  6. Step 6: Final answer
    x = 6,184.91

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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.