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Finding the Fourth Proportional to 3,561.14, 5,341.51 and 963.88

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Solution

The fourth proportional to 3,561.14, 5,341.51 and 963.88 is: 1,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.14 : 5,341.51 = 963.88 : x
  2. Step 2: Convert to fraction form
    3,561.14/5,341.51 = 963.88/x
  3. Step 3: Cross multiply
    3,561.14x = 5,341.51 × 963.88
  4. Step 4: Simplify right side
    3,561.14x = 5,148,574.66
  5. Step 5: Solve for x
    x = 5,148,574.66/3,561.14
  6. Step 6: Final answer
    x = 1,445.77

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Why These Related Problems?

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