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Finding the Fourth Proportional to 3,585.06, 4,947.69 and 1,992.01

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Solution

The fourth proportional to 3,585.06, 4,947.69 and 1,992.01 is: 2,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.06 : 4,947.69 = 1,992.01 : x
  2. Step 2: Convert to fraction form
    3,585.06/4,947.69 = 1,992.01/x
  3. Step 3: Cross multiply
    3,585.06x = 4,947.69 × 1,992.01
  4. Step 4: Simplify right side
    3,585.06x = 9,855,847.96
  5. Step 5: Solve for x
    x = 9,855,847.96/3,585.06
  6. Step 6: Final answer
    x = 2,749.14

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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.