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Finding the Fourth Proportional to 3,411.86, 5,114.54 and 1,333.19

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Solution

The fourth proportional to 3,411.86, 5,114.54 and 1,333.19 is: 1,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.86 : 5,114.54 = 1,333.19 : x
  2. Step 2: Convert to fraction form
    3,411.86/5,114.54 = 1,333.19/x
  3. Step 3: Cross multiply
    3,411.86x = 5,114.54 × 1,333.19
  4. Step 4: Simplify right side
    3,411.86x = 6,818,669.70
  5. Step 5: Solve for x
    x = 6,818,669.70/3,411.86
  6. Step 6: Final answer
    x = 1,998.52

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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.