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Finding the Fourth Proportional to 4,704.65, 7,056.98 and 1,194.92

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Solution

The fourth proportional to 4,704.65, 7,056.98 and 1,194.92 is: 1,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.65 : 7,056.98 = 1,194.92 : x
  2. Step 2: Convert to fraction form
    4,704.65/7,056.98 = 1,194.92/x
  3. Step 3: Cross multiply
    4,704.65x = 7,056.98 × 1,194.92
  4. Step 4: Simplify right side
    4,704.65x = 8,432,512.87
  5. Step 5: Solve for x
    x = 8,432,512.87/4,704.65
  6. Step 6: Final answer
    x = 1,792.38

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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.