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Finding the Fourth Proportional to 3,787.04, 5,223.96 and 2,274.20

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Solution

The fourth proportional to 3,787.04, 5,223.96 and 2,274.20 is: 3,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.04 : 5,223.96 = 2,274.20 : x
  2. Step 2: Convert to fraction form
    3,787.04/5,223.96 = 2,274.20/x
  3. Step 3: Cross multiply
    3,787.04x = 5,223.96 × 2,274.20
  4. Step 4: Simplify right side
    3,787.04x = 11,880,329.83
  5. Step 5: Solve for x
    x = 11,880,329.83/3,787.04
  6. Step 6: Final answer
    x = 3,137.10

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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.