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Finding the Fourth Proportional to 5,041.42, 6,956.14 and 2,945.14

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Solution

The fourth proportional to 5,041.42, 6,956.14 and 2,945.14 is: 4,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.42 : 6,956.14 = 2,945.14 : x
  2. Step 2: Convert to fraction form
    5,041.42/6,956.14 = 2,945.14/x
  3. Step 3: Cross multiply
    5,041.42x = 6,956.14 × 2,945.14
  4. Step 4: Simplify right side
    5,041.42x = 20,486,806.16
  5. Step 5: Solve for x
    x = 20,486,806.16/5,041.42
  6. Step 6: Final answer
    x = 4,063.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.