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Finding the Fourth Proportional to 3,700.96, 5,107.96 and 3,534.88

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Solution

The fourth proportional to 3,700.96, 5,107.96 and 3,534.88 is: 4,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.96 : 5,107.96 = 3,534.88 : x
  2. Step 2: Convert to fraction form
    3,700.96/5,107.96 = 3,534.88/x
  3. Step 3: Cross multiply
    3,700.96x = 5,107.96 × 3,534.88
  4. Step 4: Simplify right side
    3,700.96x = 18,056,025.64
  5. Step 5: Solve for x
    x = 18,056,025.64/3,700.96
  6. Step 6: Final answer
    x = 4,878.74

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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.