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Finding the Fourth Proportional to 3,603.60, 4,972.82 and 2,187.44

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Solution

The fourth proportional to 3,603.60, 4,972.82 and 2,187.44 is: 3,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.60 : 4,972.82 = 2,187.44 : x
  2. Step 2: Convert to fraction form
    3,603.60/4,972.82 = 2,187.44/x
  3. Step 3: Cross multiply
    3,603.60x = 4,972.82 × 2,187.44
  4. Step 4: Simplify right side
    3,603.60x = 10,877,745.38
  5. Step 5: Solve for x
    x = 10,877,745.38/3,603.60
  6. Step 6: Final answer
    x = 3,018.58

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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.