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Finding the Fourth Proportional to 3,561.72, 5,342.86 and 964.62

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Solution

The fourth proportional to 3,561.72, 5,342.86 and 964.62 is: 1,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.72 : 5,342.86 = 964.62 : x
  2. Step 2: Convert to fraction form
    3,561.72/5,342.86 = 964.62/x
  3. Step 3: Cross multiply
    3,561.72x = 5,342.86 × 964.62
  4. Step 4: Simplify right side
    3,561.72x = 5,153,829.61
  5. Step 5: Solve for x
    x = 5,153,829.61/3,561.72
  6. Step 6: Final answer
    x = 1,447.01

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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.