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Finding the Fourth Proportional to 5,602.57, 7,729.83 and 3,244.25

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Solution

The fourth proportional to 5,602.57, 7,729.83 and 3,244.25 is: 4,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.57 : 7,729.83 = 3,244.25 : x
  2. Step 2: Convert to fraction form
    5,602.57/7,729.83 = 3,244.25/x
  3. Step 3: Cross multiply
    5,602.57x = 7,729.83 × 3,244.25
  4. Step 4: Simplify right side
    5,602.57x = 25,077,520.30
  5. Step 5: Solve for x
    x = 25,077,520.30/5,602.57
  6. Step 6: Final answer
    x = 4,476.08

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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.