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Finding the Fourth Proportional to 3,706.24, 5,114.46 and 2,134.40

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Solution

The fourth proportional to 3,706.24, 5,114.46 and 2,134.40 is: 2,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.24 : 5,114.46 = 2,134.40 : x
  2. Step 2: Convert to fraction form
    3,706.24/5,114.46 = 2,134.40/x
  3. Step 3: Cross multiply
    3,706.24x = 5,114.46 × 2,134.40
  4. Step 4: Simplify right side
    3,706.24x = 10,916,303.42
  5. Step 5: Solve for x
    x = 10,916,303.42/3,706.24
  6. Step 6: Final answer
    x = 2,945.38

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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.