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Finding the Fourth Proportional to 5,827.32, 8,045.86 and 3,589.92

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Solution

The fourth proportional to 5,827.32, 8,045.86 and 3,589.92 is: 4,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.32 : 8,045.86 = 3,589.92 : x
  2. Step 2: Convert to fraction form
    5,827.32/8,045.86 = 3,589.92/x
  3. Step 3: Cross multiply
    5,827.32x = 8,045.86 × 3,589.92
  4. Step 4: Simplify right side
    5,827.32x = 28,883,993.73
  5. Step 5: Solve for x
    x = 28,883,993.73/5,827.32
  6. Step 6: Final answer
    x = 4,956.65

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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.