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Finding the Fourth Proportional to 3,005.36, 4,510.36 and 1,965.08

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Solution

The fourth proportional to 3,005.36, 4,510.36 and 1,965.08 is: 2,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.36 : 4,510.36 = 1,965.08 : x
  2. Step 2: Convert to fraction form
    3,005.36/4,510.36 = 1,965.08/x
  3. Step 3: Cross multiply
    3,005.36x = 4,510.36 × 1,965.08
  4. Step 4: Simplify right side
    3,005.36x = 8,863,211.87
  5. Step 5: Solve for x
    x = 8,863,211.87/3,005.36
  6. Step 6: Final answer
    x = 2,949.14

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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.