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Finding the Fourth Proportional to 4,723.57, 7,086.16 and 1,436.99

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Solution

The fourth proportional to 4,723.57, 7,086.16 and 1,436.99 is: 2,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.57 : 7,086.16 = 1,436.99 : x
  2. Step 2: Convert to fraction form
    4,723.57/7,086.16 = 1,436.99/x
  3. Step 3: Cross multiply
    4,723.57x = 7,086.16 × 1,436.99
  4. Step 4: Simplify right side
    4,723.57x = 10,182,741.06
  5. Step 5: Solve for x
    x = 10,182,741.06/4,723.57
  6. Step 6: Final answer
    x = 2,155.73

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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.