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Finding the Fourth Proportional to 5,797.74, 8,702.28 and 4,157.22

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Solution

The fourth proportional to 5,797.74, 8,702.28 and 4,157.22 is: 6,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.74 : 8,702.28 = 4,157.22 : x
  2. Step 2: Convert to fraction form
    5,797.74/8,702.28 = 4,157.22/x
  3. Step 3: Cross multiply
    5,797.74x = 8,702.28 × 4,157.22
  4. Step 4: Simplify right side
    5,797.74x = 36,177,292.46
  5. Step 5: Solve for x
    x = 36,177,292.46/5,797.74
  6. Step 6: Final answer
    x = 6,239.90

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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.