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Finding the Fourth Proportional to 5,712.84, 7,883.76 and 3,355.02

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Solution

The fourth proportional to 5,712.84, 7,883.76 and 3,355.02 is: 4,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.84 : 7,883.76 = 3,355.02 : x
  2. Step 2: Convert to fraction form
    5,712.84/7,883.76 = 3,355.02/x
  3. Step 3: Cross multiply
    5,712.84x = 7,883.76 × 3,355.02
  4. Step 4: Simplify right side
    5,712.84x = 26,450,172.48
  5. Step 5: Solve for x
    x = 26,450,172.48/5,712.84
  6. Step 6: Final answer
    x = 4,629.95

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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.