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Finding the Fourth Proportional to 3,096.64, 4,272.54 and 2,702.92

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Solution

The fourth proportional to 3,096.64, 4,272.54 and 2,702.92 is: 3,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.64 : 4,272.54 = 2,702.92 : x
  2. Step 2: Convert to fraction form
    3,096.64/4,272.54 = 2,702.92/x
  3. Step 3: Cross multiply
    3,096.64x = 4,272.54 × 2,702.92
  4. Step 4: Simplify right side
    3,096.64x = 11,548,333.82
  5. Step 5: Solve for x
    x = 11,548,333.82/3,096.64
  6. Step 6: Final answer
    x = 3,729.31

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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.