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Finding the Fourth Proportional to 3,503.36, 5,254.40 and 906.14

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Solution

The fourth proportional to 3,503.36, 5,254.40 and 906.14 is: 1,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.36 : 5,254.40 = 906.14 : x
  2. Step 2: Convert to fraction form
    3,503.36/5,254.40 = 906.14/x
  3. Step 3: Cross multiply
    3,503.36x = 5,254.40 × 906.14
  4. Step 4: Simplify right side
    3,503.36x = 4,761,198.01
  5. Step 5: Solve for x
    x = 4,761,198.01/3,503.36
  6. Step 6: Final answer
    x = 1,359.04

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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.