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Finding the Fourth Proportional to 3,566.74, 5,350.71 and 1,226.65

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Solution

The fourth proportional to 3,566.74, 5,350.71 and 1,226.65 is: 1,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.74 : 5,350.71 = 1,226.65 : x
  2. Step 2: Convert to fraction form
    3,566.74/5,350.71 = 1,226.65/x
  3. Step 3: Cross multiply
    3,566.74x = 5,350.71 × 1,226.65
  4. Step 4: Simplify right side
    3,566.74x = 6,563,437.13
  5. Step 5: Solve for x
    x = 6,563,437.13/3,566.74
  6. Step 6: Final answer
    x = 1,840.18

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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.