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Finding the Fourth Proportional to 5,682.27, 7,839.74 and 4,483.47

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Solution

The fourth proportional to 5,682.27, 7,839.74 and 4,483.47 is: 6,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.27 : 7,839.74 = 4,483.47 : x
  2. Step 2: Convert to fraction form
    5,682.27/7,839.74 = 4,483.47/x
  3. Step 3: Cross multiply
    5,682.27x = 7,839.74 × 4,483.47
  4. Step 4: Simplify right side
    5,682.27x = 35,149,216.68
  5. Step 5: Solve for x
    x = 35,149,216.68/5,682.27
  6. Step 6: Final answer
    x = 6,185.77

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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.