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Finding the Fourth Proportional to 4,550.83, 6,280.14 and 2,561.83

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Solution

The fourth proportional to 4,550.83, 6,280.14 and 2,561.83 is: 3,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.83 : 6,280.14 = 2,561.83 : x
  2. Step 2: Convert to fraction form
    4,550.83/6,280.14 = 2,561.83/x
  3. Step 3: Cross multiply
    4,550.83x = 6,280.14 × 2,561.83
  4. Step 4: Simplify right side
    4,550.83x = 16,088,651.06
  5. Step 5: Solve for x
    x = 16,088,651.06/4,550.83
  6. Step 6: Final answer
    x = 3,535.32

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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.