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Finding the Fourth Proportional to 5,135.49, 7,694.10 and 1,846.53

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Solution

The fourth proportional to 5,135.49, 7,694.10 and 1,846.53 is: 2,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.49 : 7,694.10 = 1,846.53 : x
  2. Step 2: Convert to fraction form
    5,135.49/7,694.10 = 1,846.53/x
  3. Step 3: Cross multiply
    5,135.49x = 7,694.10 × 1,846.53
  4. Step 4: Simplify right side
    5,135.49x = 14,207,386.47
  5. Step 5: Solve for x
    x = 14,207,386.47/5,135.49
  6. Step 6: Final answer
    x = 2,766.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.