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Finding the Fourth Proportional to 4,134.76, 5,706.02 and 2,246.38

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Solution

The fourth proportional to 4,134.76, 5,706.02 and 2,246.38 is: 3,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.76 : 5,706.02 = 2,246.38 : x
  2. Step 2: Convert to fraction form
    4,134.76/5,706.02 = 2,246.38/x
  3. Step 3: Cross multiply
    4,134.76x = 5,706.02 × 2,246.38
  4. Step 4: Simplify right side
    4,134.76x = 12,817,877.98
  5. Step 5: Solve for x
    x = 12,817,877.98/4,134.76
  6. Step 6: Final answer
    x = 3,100.03

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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.