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Finding the Fourth Proportional to 3,406.46, 4,701.06 and 1,914.35

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Solution

The fourth proportional to 3,406.46, 4,701.06 and 1,914.35 is: 2,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.46 : 4,701.06 = 1,914.35 : x
  2. Step 2: Convert to fraction form
    3,406.46/4,701.06 = 1,914.35/x
  3. Step 3: Cross multiply
    3,406.46x = 4,701.06 × 1,914.35
  4. Step 4: Simplify right side
    3,406.46x = 8,999,474.21
  5. Step 5: Solve for x
    x = 8,999,474.21/3,406.46
  6. Step 6: Final answer
    x = 2,641.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.