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Finding the Fourth Proportional to 3,566.32, 5,350.47 and 1,226.62

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Solution

The fourth proportional to 3,566.32, 5,350.47 and 1,226.62 is: 1,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.32 : 5,350.47 = 1,226.62 : x
  2. Step 2: Convert to fraction form
    3,566.32/5,350.47 = 1,226.62/x
  3. Step 3: Cross multiply
    3,566.32x = 5,350.47 × 1,226.62
  4. Step 4: Simplify right side
    3,566.32x = 6,562,993.51
  5. Step 5: Solve for x
    x = 6,562,993.51/3,566.32
  6. Step 6: Final answer
    x = 1,840.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.