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Finding the Fourth Proportional to 3,538.76, 5,308.13 and 906.26

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Solution

The fourth proportional to 3,538.76, 5,308.13 and 906.26 is: 1,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.76 : 5,308.13 = 906.26 : x
  2. Step 2: Convert to fraction form
    3,538.76/5,308.13 = 906.26/x
  3. Step 3: Cross multiply
    3,538.76x = 5,308.13 × 906.26
  4. Step 4: Simplify right side
    3,538.76x = 4,810,558.03
  5. Step 5: Solve for x
    x = 4,810,558.03/3,538.76
  6. Step 6: Final answer
    x = 1,359.39

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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.