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Finding the Fourth Proportional to 4,550.71, 6,280.55 and 2,561.64

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Solution

The fourth proportional to 4,550.71, 6,280.55 and 2,561.64 is: 3,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.71 : 6,280.55 = 2,561.64 : x
  2. Step 2: Convert to fraction form
    4,550.71/6,280.55 = 2,561.64/x
  3. Step 3: Cross multiply
    4,550.71x = 6,280.55 × 2,561.64
  4. Step 4: Simplify right side
    4,550.71x = 16,088,531.09
  5. Step 5: Solve for x
    x = 16,088,531.09/4,550.71
  6. Step 6: Final answer
    x = 3,535.39

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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.