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Finding the Fourth Proportional to 4,314.96, 6,471.18 and 2,465.73

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Solution

The fourth proportional to 4,314.96, 6,471.18 and 2,465.73 is: 3,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.96 : 6,471.18 = 2,465.73 : x
  2. Step 2: Convert to fraction form
    4,314.96/6,471.18 = 2,465.73/x
  3. Step 3: Cross multiply
    4,314.96x = 6,471.18 × 2,465.73
  4. Step 4: Simplify right side
    4,314.96x = 15,956,182.66
  5. Step 5: Solve for x
    x = 15,956,182.66/4,314.96
  6. Step 6: Final answer
    x = 3,697.87

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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.