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Finding the Fourth Proportional to 5,797.94, 8,696.34 and 2,878.16

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Solution

The fourth proportional to 5,797.94, 8,696.34 and 2,878.16 is: 4,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.94 : 8,696.34 = 2,878.16 : x
  2. Step 2: Convert to fraction form
    5,797.94/8,696.34 = 2,878.16/x
  3. Step 3: Cross multiply
    5,797.94x = 8,696.34 × 2,878.16
  4. Step 4: Simplify right side
    5,797.94x = 25,029,457.93
  5. Step 5: Solve for x
    x = 25,029,457.93/5,797.94
  6. Step 6: Final answer
    x = 4,316.96

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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.