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Finding the Fourth Proportional to 5,745.91, 8,619.16 and 1,585.83

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Solution

The fourth proportional to 5,745.91, 8,619.16 and 1,585.83 is: 2,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.91 : 8,619.16 = 1,585.83 : x
  2. Step 2: Convert to fraction form
    5,745.91/8,619.16 = 1,585.83/x
  3. Step 3: Cross multiply
    5,745.91x = 8,619.16 × 1,585.83
  4. Step 4: Simplify right side
    5,745.91x = 13,668,505.35
  5. Step 5: Solve for x
    x = 13,668,505.35/5,745.91
  6. Step 6: Final answer
    x = 2,378.82

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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.