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Finding the Fourth Proportional to 3,599.64, 4,966.52 and 2,272.86

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Solution

The fourth proportional to 3,599.64, 4,966.52 and 2,272.86 is: 3,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.64 : 4,966.52 = 2,272.86 : x
  2. Step 2: Convert to fraction form
    3,599.64/4,966.52 = 2,272.86/x
  3. Step 3: Cross multiply
    3,599.64x = 4,966.52 × 2,272.86
  4. Step 4: Simplify right side
    3,599.64x = 11,288,193.28
  5. Step 5: Solve for x
    x = 11,288,193.28/3,599.64
  6. Step 6: Final answer
    x = 3,135.92

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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.