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Finding the Fourth Proportional to 4,186.92, 5,774.60 and 3,715.16

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Solution

The fourth proportional to 4,186.92, 5,774.60 and 3,715.16 is: 5,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.92 : 5,774.60 = 3,715.16 : x
  2. Step 2: Convert to fraction form
    4,186.92/5,774.60 = 3,715.16/x
  3. Step 3: Cross multiply
    4,186.92x = 5,774.60 × 3,715.16
  4. Step 4: Simplify right side
    4,186.92x = 21,453,562.94
  5. Step 5: Solve for x
    x = 21,453,562.94/4,186.92
  6. Step 6: Final answer
    x = 5,123.95

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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.