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Finding the Fourth Proportional to 5,536.25, 7,640.03 and 3,052.25

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Solution

The fourth proportional to 5,536.25, 7,640.03 and 3,052.25 is: 4,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.25 : 7,640.03 = 3,052.25 : x
  2. Step 2: Convert to fraction form
    5,536.25/7,640.03 = 3,052.25/x
  3. Step 3: Cross multiply
    5,536.25x = 7,640.03 × 3,052.25
  4. Step 4: Simplify right side
    5,536.25x = 23,319,281.57
  5. Step 5: Solve for x
    x = 23,319,281.57/5,536.25
  6. Step 6: Final answer
    x = 4,212.11

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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.