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Finding the Fourth Proportional to 4,949.76, 6,822.53 and 3,953.28

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Solution

The fourth proportional to 4,949.76, 6,822.53 and 3,953.28 is: 5,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.76 : 6,822.53 = 3,953.28 : x
  2. Step 2: Convert to fraction form
    4,949.76/6,822.53 = 3,953.28/x
  3. Step 3: Cross multiply
    4,949.76x = 6,822.53 × 3,953.28
  4. Step 4: Simplify right side
    4,949.76x = 26,971,327.40
  5. Step 5: Solve for x
    x = 26,971,327.40/4,949.76
  6. Step 6: Final answer
    x = 5,449.02

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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.