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Finding the Fourth Proportional to 4,565.93, 6,845.85 and 1,643.85

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Solution

The fourth proportional to 4,565.93, 6,845.85 and 1,643.85 is: 2,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.93 : 6,845.85 = 1,643.85 : x
  2. Step 2: Convert to fraction form
    4,565.93/6,845.85 = 1,643.85/x
  3. Step 3: Cross multiply
    4,565.93x = 6,845.85 × 1,643.85
  4. Step 4: Simplify right side
    4,565.93x = 11,253,550.52
  5. Step 5: Solve for x
    x = 11,253,550.52/4,565.93
  6. Step 6: Final answer
    x = 2,464.68

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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.