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Finding the Fourth Proportional to 3,504.02, 5,256.02 and 906.75

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Solution

The fourth proportional to 3,504.02, 5,256.02 and 906.75 is: 1,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.02 : 5,256.02 = 906.75 : x
  2. Step 2: Convert to fraction form
    3,504.02/5,256.02 = 906.75/x
  3. Step 3: Cross multiply
    3,504.02x = 5,256.02 × 906.75
  4. Step 4: Simplify right side
    3,504.02x = 4,765,896.14
  5. Step 5: Solve for x
    x = 4,765,896.14/3,504.02
  6. Step 6: Final answer
    x = 1,360.12

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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.