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Finding the Fourth Proportional to 5,702.18, 7,867.05 and 4,213.22

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Solution

The fourth proportional to 5,702.18, 7,867.05 and 4,213.22 is: 5,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.18 : 7,867.05 = 4,213.22 : x
  2. Step 2: Convert to fraction form
    5,702.18/7,867.05 = 4,213.22/x
  3. Step 3: Cross multiply
    5,702.18x = 7,867.05 × 4,213.22
  4. Step 4: Simplify right side
    5,702.18x = 33,145,612.40
  5. Step 5: Solve for x
    x = 33,145,612.40/5,702.18
  6. Step 6: Final answer
    x = 5,812.80

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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.