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Finding the Fourth Proportional to 5,603.14, 7,734.99 and 3,244.42

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Solution

The fourth proportional to 5,603.14, 7,734.99 and 3,244.42 is: 4,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.14 : 7,734.99 = 3,244.42 : x
  2. Step 2: Convert to fraction form
    5,603.14/7,734.99 = 3,244.42/x
  3. Step 3: Cross multiply
    5,603.14x = 7,734.99 × 3,244.42
  4. Step 4: Simplify right side
    5,603.14x = 25,095,556.26
  5. Step 5: Solve for x
    x = 25,095,556.26/5,603.14
  6. Step 6: Final answer
    x = 4,478.84

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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.