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Finding the Fourth Proportional to 5,853.74, 8,077.74 and 3,200.59

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Solution

The fourth proportional to 5,853.74, 8,077.74 and 3,200.59 is: 4,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.74 : 8,077.74 = 3,200.59 : x
  2. Step 2: Convert to fraction form
    5,853.74/8,077.74 = 3,200.59/x
  3. Step 3: Cross multiply
    5,853.74x = 8,077.74 × 3,200.59
  4. Step 4: Simplify right side
    5,853.74x = 25,853,493.48
  5. Step 5: Solve for x
    x = 25,853,493.48/5,853.74
  6. Step 6: Final answer
    x = 4,416.58

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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.