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Finding the Fourth Proportional to 3,709.70, 5,114.06 and 2,292.44

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Solution

The fourth proportional to 3,709.70, 5,114.06 and 2,292.44 is: 3,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.70 : 5,114.06 = 2,292.44 : x
  2. Step 2: Convert to fraction form
    3,709.70/5,114.06 = 2,292.44/x
  3. Step 3: Cross multiply
    3,709.70x = 5,114.06 × 2,292.44
  4. Step 4: Simplify right side
    3,709.70x = 11,723,675.71
  5. Step 5: Solve for x
    x = 11,723,675.71/3,709.70
  6. Step 6: Final answer
    x = 3,160.28

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1.5x scale

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.