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Finding the Fourth Proportional to 3,767.64, 5,203.71 and 3,548.94

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Solution

The fourth proportional to 3,767.64, 5,203.71 and 3,548.94 is: 4,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.64 : 5,203.71 = 3,548.94 : x
  2. Step 2: Convert to fraction form
    3,767.64/5,203.71 = 3,548.94/x
  3. Step 3: Cross multiply
    3,767.64x = 5,203.71 × 3,548.94
  4. Step 4: Simplify right side
    3,767.64x = 18,467,654.57
  5. Step 5: Solve for x
    x = 18,467,654.57/3,767.64
  6. Step 6: Final answer
    x = 4,901.65

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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.