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Finding the Fourth Proportional to 4,137.75, 5,710.10 and 2,274.75

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Solution

The fourth proportional to 4,137.75, 5,710.10 and 2,274.75 is: 3,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.75 : 5,710.10 = 2,274.75 : x
  2. Step 2: Convert to fraction form
    4,137.75/5,710.10 = 2,274.75/x
  3. Step 3: Cross multiply
    4,137.75x = 5,710.10 × 2,274.75
  4. Step 4: Simplify right side
    4,137.75x = 12,989,038.60
  5. Step 5: Solve for x
    x = 12,989,038.60/4,137.75
  6. Step 6: Final answer
    x = 3,139.16

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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.