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Finding the Fourth Proportional to 4,134.86, 5,706.05 and 2,246.41

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Solution

The fourth proportional to 4,134.86, 5,706.05 and 2,246.41 is: 3,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.86 : 5,706.05 = 2,246.41 : x
  2. Step 2: Convert to fraction form
    4,134.86/5,706.05 = 2,246.41/x
  3. Step 3: Cross multiply
    4,134.86x = 5,706.05 × 2,246.41
  4. Step 4: Simplify right side
    4,134.86x = 12,818,127.78
  5. Step 5: Solve for x
    x = 12,818,127.78/4,134.86
  6. Step 6: Final answer
    x = 3,100.01

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