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Finding the Fourth Proportional to 3,603.52, 4,972.56 and 2,032

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Solution

The fourth proportional to 3,603.52, 4,972.56 and 2,032 is: 2,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.52 : 4,972.56 = 2,032 : x
  2. Step 2: Convert to fraction form
    3,603.52/4,972.56 = 2,032/x
  3. Step 3: Cross multiply
    3,603.52x = 4,972.56 × 2,032
  4. Step 4: Simplify right side
    3,603.52x = 10,104,241.92
  5. Step 5: Solve for x
    x = 10,104,241.92/3,603.52
  6. Step 6: Final answer
    x = 2,803.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.