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Finding the Fourth Proportional to 3,566.46, 5,350.41 and 1,259.58

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Solution

The fourth proportional to 3,566.46, 5,350.41 and 1,259.58 is: 1,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.46 : 5,350.41 = 1,259.58 : x
  2. Step 2: Convert to fraction form
    3,566.46/5,350.41 = 1,259.58/x
  3. Step 3: Cross multiply
    3,566.46x = 5,350.41 × 1,259.58
  4. Step 4: Simplify right side
    3,566.46x = 6,739,269.43
  5. Step 5: Solve for x
    x = 6,739,269.43/3,566.46
  6. Step 6: Final answer
    x = 1,889.62

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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.