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Finding the Fourth Proportional to 4,853.96, 6,696.90 and 2,865.18

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Solution

The fourth proportional to 4,853.96, 6,696.90 and 2,865.18 is: 3,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.96 : 6,696.90 = 2,865.18 : x
  2. Step 2: Convert to fraction form
    4,853.96/6,696.90 = 2,865.18/x
  3. Step 3: Cross multiply
    4,853.96x = 6,696.90 × 2,865.18
  4. Step 4: Simplify right side
    4,853.96x = 19,187,823.94
  5. Step 5: Solve for x
    x = 19,187,823.94/4,853.96
  6. Step 6: Final answer
    x = 3,953.02

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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.