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Finding the Fourth Proportional to 3,566.63, 5,350.25 and 1,617.77

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Solution

The fourth proportional to 3,566.63, 5,350.25 and 1,617.77 is: 2,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.63 : 5,350.25 = 1,617.77 : x
  2. Step 2: Convert to fraction form
    3,566.63/5,350.25 = 1,617.77/x
  3. Step 3: Cross multiply
    3,566.63x = 5,350.25 × 1,617.77
  4. Step 4: Simplify right side
    3,566.63x = 8,655,491.36
  5. Step 5: Solve for x
    x = 8,655,491.36/3,566.63
  6. Step 6: Final answer
    x = 2,426.80

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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.