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Finding the Fourth Proportional to 5,041.14, 7,561.68 and 1,963.14

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Solution

The fourth proportional to 5,041.14, 7,561.68 and 1,963.14 is: 2,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.14 : 7,561.68 = 1,963.14 : x
  2. Step 2: Convert to fraction form
    5,041.14/7,561.68 = 1,963.14/x
  3. Step 3: Cross multiply
    5,041.14x = 7,561.68 × 1,963.14
  4. Step 4: Simplify right side
    5,041.14x = 14,844,636.48
  5. Step 5: Solve for x
    x = 14,844,636.48/5,041.14
  6. Step 6: Final answer
    x = 2,944.70

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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.