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Finding the Fourth Proportional to 3,509.60, 5,266.22 and 1,561.34

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Solution

The fourth proportional to 3,509.60, 5,266.22 and 1,561.34 is: 2,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.60 : 5,266.22 = 1,561.34 : x
  2. Step 2: Convert to fraction form
    3,509.60/5,266.22 = 1,561.34/x
  3. Step 3: Cross multiply
    3,509.60x = 5,266.22 × 1,561.34
  4. Step 4: Simplify right side
    3,509.60x = 8,222,365.29
  5. Step 5: Solve for x
    x = 8,222,365.29/3,509.60
  6. Step 6: Final answer
    x = 2,342.82

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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.