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Finding the Fourth Proportional to 3,603.06, 5,404.56 and 1,959.24

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Solution

The fourth proportional to 3,603.06, 5,404.56 and 1,959.24 is: 2,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.06 : 5,404.56 = 1,959.24 : x
  2. Step 2: Convert to fraction form
    3,603.06/5,404.56 = 1,959.24/x
  3. Step 3: Cross multiply
    3,603.06x = 5,404.56 × 1,959.24
  4. Step 4: Simplify right side
    3,603.06x = 10,588,830.13
  5. Step 5: Solve for x
    x = 10,588,830.13/3,603.06
  6. Step 6: Final answer
    x = 2,938.84

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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.