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Finding the Fourth Proportional to 5,790.92, 8,686.89 and 1,630.96

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Solution

The fourth proportional to 5,790.92, 8,686.89 and 1,630.96 is: 2,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.92 : 8,686.89 = 1,630.96 : x
  2. Step 2: Convert to fraction form
    5,790.92/8,686.89 = 1,630.96/x
  3. Step 3: Cross multiply
    5,790.92x = 8,686.89 × 1,630.96
  4. Step 4: Simplify right side
    5,790.92x = 14,167,961.96
  5. Step 5: Solve for x
    x = 14,167,961.96/5,790.92
  6. Step 6: Final answer
    x = 2,446.58

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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.