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Finding the Fourth Proportional to 2,356.14, 3,527.53 and 2,062.11

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Solution

The fourth proportional to 2,356.14, 3,527.53 and 2,062.11 is: 3,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.14 : 3,527.53 = 2,062.11 : x
  2. Step 2: Convert to fraction form
    2,356.14/3,527.53 = 2,062.11/x
  3. Step 3: Cross multiply
    2,356.14x = 3,527.53 × 2,062.11
  4. Step 4: Simplify right side
    2,356.14x = 7,274,149.73
  5. Step 5: Solve for x
    x = 7,274,149.73/2,356.14
  6. Step 6: Final answer
    x = 3,087.32

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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.