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Finding the Fourth Proportional to 3,662.84, 5,055.66 and 2,264.78

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Solution

The fourth proportional to 3,662.84, 5,055.66 and 2,264.78 is: 3,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.84 : 5,055.66 = 2,264.78 : x
  2. Step 2: Convert to fraction form
    3,662.84/5,055.66 = 2,264.78/x
  3. Step 3: Cross multiply
    3,662.84x = 5,055.66 × 2,264.78
  4. Step 4: Simplify right side
    3,662.84x = 11,449,957.65
  5. Step 5: Solve for x
    x = 11,449,957.65/3,662.84
  6. Step 6: Final answer
    x = 3,125.98

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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.