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Finding the Fourth Proportional to 5,605.25, 7,735.25 and 3,121.25

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Solution

The fourth proportional to 5,605.25, 7,735.25 and 3,121.25 is: 4,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.25 : 7,735.25 = 3,121.25 : x
  2. Step 2: Convert to fraction form
    5,605.25/7,735.25 = 3,121.25/x
  3. Step 3: Cross multiply
    5,605.25x = 7,735.25 × 3,121.25
  4. Step 4: Simplify right side
    5,605.25x = 24,143,633.46
  5. Step 5: Solve for x
    x = 24,143,633.46/5,605.25
  6. Step 6: Final answer
    x = 4,307.33

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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.