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Finding the Fourth Proportional to 5,809.62, 8,016.80 and 3,419.22

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Solution

The fourth proportional to 5,809.62, 8,016.80 and 3,419.22 is: 4,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.62 : 8,016.80 = 3,419.22 : x
  2. Step 2: Convert to fraction form
    5,809.62/8,016.80 = 3,419.22/x
  3. Step 3: Cross multiply
    5,809.62x = 8,016.80 × 3,419.22
  4. Step 4: Simplify right side
    5,809.62x = 27,411,145.72
  5. Step 5: Solve for x
    x = 27,411,145.72/5,809.62
  6. Step 6: Final answer
    x = 4,718.24

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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.