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Finding the Fourth Proportional to 5,702.19, 8,552.73 and 3,865.11

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Solution

The fourth proportional to 5,702.19, 8,552.73 and 3,865.11 is: 5,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.19 : 8,552.73 = 3,865.11 : x
  2. Step 2: Convert to fraction form
    5,702.19/8,552.73 = 3,865.11/x
  3. Step 3: Cross multiply
    5,702.19x = 8,552.73 × 3,865.11
  4. Step 4: Simplify right side
    5,702.19x = 33,057,242.25
  5. Step 5: Solve for x
    x = 33,057,242.25/5,702.19
  6. Step 6: Final answer
    x = 5,797.29

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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.