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Finding the Fourth Proportional to 3,560.82, 5,341.29 and 963.69

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Solution

The fourth proportional to 3,560.82, 5,341.29 and 963.69 is: 1,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.82 : 5,341.29 = 963.69 : x
  2. Step 2: Convert to fraction form
    3,560.82/5,341.29 = 963.69/x
  3. Step 3: Cross multiply
    3,560.82x = 5,341.29 × 963.69
  4. Step 4: Simplify right side
    3,560.82x = 5,147,347.76
  5. Step 5: Solve for x
    x = 5,147,347.76/3,560.82
  6. Step 6: Final answer
    x = 1,445.55

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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.