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Finding the Fourth Proportional to 5,411.84, 8,118.60 and 1,902.82

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Solution

The fourth proportional to 5,411.84, 8,118.60 and 1,902.82 is: 2,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.84 : 8,118.60 = 1,902.82 : x
  2. Step 2: Convert to fraction form
    5,411.84/8,118.60 = 1,902.82/x
  3. Step 3: Cross multiply
    5,411.84x = 8,118.60 × 1,902.82
  4. Step 4: Simplify right side
    5,411.84x = 15,448,234.45
  5. Step 5: Solve for x
    x = 15,448,234.45/5,411.84
  6. Step 6: Final answer
    x = 2,854.53

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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.