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Finding the Fourth Proportional to 3,570.97, 4,928.64 and 2,154.89

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Solution

The fourth proportional to 3,570.97, 4,928.64 and 2,154.89 is: 2,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.97 : 4,928.64 = 2,154.89 : x
  2. Step 2: Convert to fraction form
    3,570.97/4,928.64 = 2,154.89/x
  3. Step 3: Cross multiply
    3,570.97x = 4,928.64 × 2,154.89
  4. Step 4: Simplify right side
    3,570.97x = 10,620,677.05
  5. Step 5: Solve for x
    x = 10,620,677.05/3,570.97
  6. Step 6: Final answer
    x = 2,974.17

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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.