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Finding the Fourth Proportional to 3,487.94, 4,813.60 and 1,916.05

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Solution

The fourth proportional to 3,487.94, 4,813.60 and 1,916.05 is: 2,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.94 : 4,813.60 = 1,916.05 : x
  2. Step 2: Convert to fraction form
    3,487.94/4,813.60 = 1,916.05/x
  3. Step 3: Cross multiply
    3,487.94x = 4,813.60 × 1,916.05
  4. Step 4: Simplify right side
    3,487.94x = 9,223,103.13
  5. Step 5: Solve for x
    x = 9,223,103.13/3,487.94
  6. Step 6: Final answer
    x = 2,644.28

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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.