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Finding the Fourth Proportional to 3,822.76, 5,278.26 and 2,937.16

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Solution

The fourth proportional to 3,822.76, 5,278.26 and 2,937.16 is: 4,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.76 : 5,278.26 = 2,937.16 : x
  2. Step 2: Convert to fraction form
    3,822.76/5,278.26 = 2,937.16/x
  3. Step 3: Cross multiply
    3,822.76x = 5,278.26 × 2,937.16
  4. Step 4: Simplify right side
    3,822.76x = 15,503,094.14
  5. Step 5: Solve for x
    x = 15,503,094.14/3,822.76
  6. Step 6: Final answer
    x = 4,055.47

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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.