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Finding the Fourth Proportional to 3,660.14, 5,051.03 and 1,981.58

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Solution

The fourth proportional to 3,660.14, 5,051.03 and 1,981.58 is: 2,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.14 : 5,051.03 = 1,981.58 : x
  2. Step 2: Convert to fraction form
    3,660.14/5,051.03 = 1,981.58/x
  3. Step 3: Cross multiply
    3,660.14x = 5,051.03 × 1,981.58
  4. Step 4: Simplify right side
    3,660.14x = 10,009,028.14
  5. Step 5: Solve for x
    x = 10,009,028.14/3,660.14
  6. Step 6: Final answer
    x = 2,734.60

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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.