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Finding the Fourth Proportional to 3,409.25, 4,703.96 and 1,916.87

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Solution

The fourth proportional to 3,409.25, 4,703.96 and 1,916.87 is: 2,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.25 : 4,703.96 = 1,916.87 : x
  2. Step 2: Convert to fraction form
    3,409.25/4,703.96 = 1,916.87/x
  3. Step 3: Cross multiply
    3,409.25x = 4,703.96 × 1,916.87
  4. Step 4: Simplify right side
    3,409.25x = 9,016,870.22
  5. Step 5: Solve for x
    x = 9,016,870.22/3,409.25
  6. Step 6: Final answer
    x = 2,644.83

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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.