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Finding the Fourth Proportional to 3,471.36, 5,206.70 and 1,910.86

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Solution

The fourth proportional to 3,471.36, 5,206.70 and 1,910.86 is: 2,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.36 : 5,206.70 = 1,910.86 : x
  2. Step 2: Convert to fraction form
    3,471.36/5,206.70 = 1,910.86/x
  3. Step 3: Cross multiply
    3,471.36x = 5,206.70 × 1,910.86
  4. Step 4: Simplify right side
    3,471.36x = 9,949,274.76
  5. Step 5: Solve for x
    x = 9,949,274.76/3,471.36
  6. Step 6: Final answer
    x = 2,866.10

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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.