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Finding the Fourth Proportional to 3,411.95, 5,112.79 and 1,929.57

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Solution

The fourth proportional to 3,411.95, 5,112.79 and 1,929.57 is: 2,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.95 : 5,112.79 = 1,929.57 : x
  2. Step 2: Convert to fraction form
    3,411.95/5,112.79 = 1,929.57/x
  3. Step 3: Cross multiply
    3,411.95x = 5,112.79 × 1,929.57
  4. Step 4: Simplify right side
    3,411.95x = 9,865,476.55
  5. Step 5: Solve for x
    x = 9,865,476.55/3,411.95
  6. Step 6: Final answer
    x = 2,891.45

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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.