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Finding the Fourth Proportional to 3,992.16, 5,954.14 and 3,852.84

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Solution

The fourth proportional to 3,992.16, 5,954.14 and 3,852.84 is: 5,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.16 : 5,954.14 = 3,852.84 : x
  2. Step 2: Convert to fraction form
    3,992.16/5,954.14 = 3,852.84/x
  3. Step 3: Cross multiply
    3,992.16x = 5,954.14 × 3,852.84
  4. Step 4: Simplify right side
    3,992.16x = 22,940,348.76
  5. Step 5: Solve for x
    x = 22,940,348.76/3,992.16
  6. Step 6: Final answer
    x = 5,746.35

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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.