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Finding the Fourth Proportional to 3,411.70, 5,109.33 and 1,946.41

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Solution

The fourth proportional to 3,411.70, 5,109.33 and 1,946.41 is: 2,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.70 : 5,109.33 = 1,946.41 : x
  2. Step 2: Convert to fraction form
    3,411.70/5,109.33 = 1,946.41/x
  3. Step 3: Cross multiply
    3,411.70x = 5,109.33 × 1,946.41
  4. Step 4: Simplify right side
    3,411.70x = 9,944,851.01
  5. Step 5: Solve for x
    x = 9,944,851.01/3,411.70
  6. Step 6: Final answer
    x = 2,914.93

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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.