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Finding the Fourth Proportional to 3,801.80, 5,702.70 and 3,153.80

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Solution

The fourth proportional to 3,801.80, 5,702.70 and 3,153.80 is: 4,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.80 : 5,702.70 = 3,153.80 : x
  2. Step 2: Convert to fraction form
    3,801.80/5,702.70 = 3,153.80/x
  3. Step 3: Cross multiply
    3,801.80x = 5,702.70 × 3,153.80
  4. Step 4: Simplify right side
    3,801.80x = 17,985,175.26
  5. Step 5: Solve for x
    x = 17,985,175.26/3,801.80
  6. Step 6: Final answer
    x = 4,730.70

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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.