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Finding the Fourth Proportional to 3,484.97, 4,809.14 and 1,992.86

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Solution

The fourth proportional to 3,484.97, 4,809.14 and 1,992.86 is: 2,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.97 : 4,809.14 = 1,992.86 : x
  2. Step 2: Convert to fraction form
    3,484.97/4,809.14 = 1,992.86/x
  3. Step 3: Cross multiply
    3,484.97x = 4,809.14 × 1,992.86
  4. Step 4: Simplify right side
    3,484.97x = 9,583,935.70
  5. Step 5: Solve for x
    x = 9,583,935.70/3,484.97
  6. Step 6: Final answer
    x = 2,750.08

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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.