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Finding the Fourth Proportional to 3,005.94, 4,508.91 and 1,362.18

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Solution

The fourth proportional to 3,005.94, 4,508.91 and 1,362.18 is: 2,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.94 : 4,508.91 = 1,362.18 : x
  2. Step 2: Convert to fraction form
    3,005.94/4,508.91 = 1,362.18/x
  3. Step 3: Cross multiply
    3,005.94x = 4,508.91 × 1,362.18
  4. Step 4: Simplify right side
    3,005.94x = 6,141,947.02
  5. Step 5: Solve for x
    x = 6,141,947.02/3,005.94
  6. Step 6: Final answer
    x = 2,043.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.