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Finding the Fourth Proportional to 3,696.45, 5,512.61 and 3,152.13

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Solution

The fourth proportional to 3,696.45, 5,512.61 and 3,152.13 is: 4,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.45 : 5,512.61 = 3,152.13 : x
  2. Step 2: Convert to fraction form
    3,696.45/5,512.61 = 3,152.13/x
  3. Step 3: Cross multiply
    3,696.45x = 5,512.61 × 3,152.13
  4. Step 4: Simplify right side
    3,696.45x = 17,376,463.36
  5. Step 5: Solve for x
    x = 17,376,463.36/3,696.45
  6. Step 6: Final answer
    x = 4,700.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.