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Finding the Fourth Proportional to 4,137.84, 5,710.20 and 2,274.84

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Solution

The fourth proportional to 4,137.84, 5,710.20 and 2,274.84 is: 3,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.84 : 5,710.20 = 2,274.84 : x
  2. Step 2: Convert to fraction form
    4,137.84/5,710.20 = 2,274.84/x
  3. Step 3: Cross multiply
    4,137.84x = 5,710.20 × 2,274.84
  4. Step 4: Simplify right side
    4,137.84x = 12,989,791.37
  5. Step 5: Solve for x
    x = 12,989,791.37/4,137.84
  6. Step 6: Final answer
    x = 3,139.27

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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.