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Finding the Fourth Proportional to 3,411.80, 5,117.70 and 2,893.40

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Solution

The fourth proportional to 3,411.80, 5,117.70 and 2,893.40 is: 4,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.80 : 5,117.70 = 2,893.40 : x
  2. Step 2: Convert to fraction form
    3,411.80/5,117.70 = 2,893.40/x
  3. Step 3: Cross multiply
    3,411.80x = 5,117.70 × 2,893.40
  4. Step 4: Simplify right side
    3,411.80x = 14,807,553.18
  5. Step 5: Solve for x
    x = 14,807,553.18/3,411.80
  6. Step 6: Final answer
    x = 4,340.10

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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.