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Finding the Fourth Proportional to 3,839.12, 5,730.64 and 3,294.80

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Solution

The fourth proportional to 3,839.12, 5,730.64 and 3,294.80 is: 4,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.12 : 5,730.64 = 3,294.80 : x
  2. Step 2: Convert to fraction form
    3,839.12/5,730.64 = 3,294.80/x
  3. Step 3: Cross multiply
    3,839.12x = 5,730.64 × 3,294.80
  4. Step 4: Simplify right side
    3,839.12x = 18,881,312.67
  5. Step 5: Solve for x
    x = 18,881,312.67/3,839.12
  6. Step 6: Final answer
    x = 4,918.14

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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.