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Finding the Fourth Proportional to 3,603.88, 4,972.75 and 2,111.66

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Solution

The fourth proportional to 3,603.88, 4,972.75 and 2,111.66 is: 2,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.88 : 4,972.75 = 2,111.66 : x
  2. Step 2: Convert to fraction form
    3,603.88/4,972.75 = 2,111.66/x
  3. Step 3: Cross multiply
    3,603.88x = 4,972.75 × 2,111.66
  4. Step 4: Simplify right side
    3,603.88x = 10,500,757.27
  5. Step 5: Solve for x
    x = 10,500,757.27/3,603.88
  6. Step 6: Final answer
    x = 2,913.74

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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.