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Finding the Fourth Proportional to 5,154.66, 7,725.51 and 3,696.66

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Solution

The fourth proportional to 5,154.66, 7,725.51 and 3,696.66 is: 5,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.66 : 7,725.51 = 3,696.66 : x
  2. Step 2: Convert to fraction form
    5,154.66/7,725.51 = 3,696.66/x
  3. Step 3: Cross multiply
    5,154.66x = 7,725.51 × 3,696.66
  4. Step 4: Simplify right side
    5,154.66x = 28,558,583.80
  5. Step 5: Solve for x
    x = 28,558,583.80/5,154.66
  6. Step 6: Final answer
    x = 5,540.34

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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.