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Finding the Fourth Proportional to 3,651.42, 5,038.95 and 1,972.82

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Solution

The fourth proportional to 3,651.42, 5,038.95 and 1,972.82 is: 2,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.42 : 5,038.95 = 1,972.82 : x
  2. Step 2: Convert to fraction form
    3,651.42/5,038.95 = 1,972.82/x
  3. Step 3: Cross multiply
    3,651.42x = 5,038.95 × 1,972.82
  4. Step 4: Simplify right side
    3,651.42x = 9,940,941.34
  5. Step 5: Solve for x
    x = 9,940,941.34/3,651.42
  6. Step 6: Final answer
    x = 2,722.49

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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.