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Finding the Fourth Proportional to 4,611.76, 6,364.16 and 2,515.92

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Solution

The fourth proportional to 4,611.76, 6,364.16 and 2,515.92 is: 3,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.76 : 6,364.16 = 2,515.92 : x
  2. Step 2: Convert to fraction form
    4,611.76/6,364.16 = 2,515.92/x
  3. Step 3: Cross multiply
    4,611.76x = 6,364.16 × 2,515.92
  4. Step 4: Simplify right side
    4,611.76x = 16,011,717.43
  5. Step 5: Solve for x
    x = 16,011,717.43/4,611.76
  6. Step 6: Final answer
    x = 3,471.93

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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.