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Finding the Fourth Proportional to 5,730.27, 8,589.90 and 3,643.80

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Solution

The fourth proportional to 5,730.27, 8,589.90 and 3,643.80 is: 5,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.27 : 8,589.90 = 3,643.80 : x
  2. Step 2: Convert to fraction form
    5,730.27/8,589.90 = 3,643.80/x
  3. Step 3: Cross multiply
    5,730.27x = 8,589.90 × 3,643.80
  4. Step 4: Simplify right side
    5,730.27x = 31,299,877.62
  5. Step 5: Solve for x
    x = 31,299,877.62/5,730.27
  6. Step 6: Final answer
    x = 5,462.20

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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.