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Finding the Fourth Proportional to 4,187.92, 5,775.98 and 3,716.16

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Solution

The fourth proportional to 4,187.92, 5,775.98 and 3,716.16 is: 5,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.92 : 5,775.98 = 3,716.16 : x
  2. Step 2: Convert to fraction form
    4,187.92/5,775.98 = 3,716.16/x
  3. Step 3: Cross multiply
    4,187.92x = 5,775.98 × 3,716.16
  4. Step 4: Simplify right side
    4,187.92x = 21,464,465.84
  5. Step 5: Solve for x
    x = 21,464,465.84/4,187.92
  6. Step 6: Final answer
    x = 5,125.33

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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.