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Finding the Fourth Proportional to 5,807.97, 8,706.38 and 3,722.13

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Solution

The fourth proportional to 5,807.97, 8,706.38 and 3,722.13 is: 5,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.97 : 8,706.38 = 3,722.13 : x
  2. Step 2: Convert to fraction form
    5,807.97/8,706.38 = 3,722.13/x
  3. Step 3: Cross multiply
    5,807.97x = 8,706.38 × 3,722.13
  4. Step 4: Simplify right side
    5,807.97x = 32,406,259.58
  5. Step 5: Solve for x
    x = 32,406,259.58/5,807.97
  6. Step 6: Final answer
    x = 5,579.62

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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.