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Finding the Fourth Proportional to 3,502.96, 5,246.90 and 1,651.30

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Solution

The fourth proportional to 3,502.96, 5,246.90 and 1,651.30 is: 2,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.96 : 5,246.90 = 1,651.30 : x
  2. Step 2: Convert to fraction form
    3,502.96/5,246.90 = 1,651.30/x
  3. Step 3: Cross multiply
    3,502.96x = 5,246.90 × 1,651.30
  4. Step 4: Simplify right side
    3,502.96x = 8,664,205.97
  5. Step 5: Solve for x
    x = 8,664,205.97/3,502.96
  6. Step 6: Final answer
    x = 2,473.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.