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Finding the Fourth Proportional to 3,603.17, 4,972.37 and 2,009.82

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Solution

The fourth proportional to 3,603.17, 4,972.37 and 2,009.82 is: 2,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.17 : 4,972.37 = 2,009.82 : x
  2. Step 2: Convert to fraction form
    3,603.17/4,972.37 = 2,009.82/x
  3. Step 3: Cross multiply
    3,603.17x = 4,972.37 × 2,009.82
  4. Step 4: Simplify right side
    3,603.17x = 9,993,581.10
  5. Step 5: Solve for x
    x = 9,993,581.10/3,603.17
  6. Step 6: Final answer
    x = 2,773.55

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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.