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Finding the Fourth Proportional to 3,992.16, 5,509.44 and 2,748

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Solution

The fourth proportional to 3,992.16, 5,509.44 and 2,748 is: 3,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.16 : 5,509.44 = 2,748 : x
  2. Step 2: Convert to fraction form
    3,992.16/5,509.44 = 2,748/x
  3. Step 3: Cross multiply
    3,992.16x = 5,509.44 × 2,748
  4. Step 4: Simplify right side
    3,992.16x = 15,139,941.12
  5. Step 5: Solve for x
    x = 15,139,941.12/3,992.16
  6. Step 6: Final answer
    x = 3,792.42

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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.