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Finding the Fourth Proportional to 4,954.54, 6,835.80 and 2,830

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Solution

The fourth proportional to 4,954.54, 6,835.80 and 2,830 is: 3,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.54 : 6,835.80 = 2,830 : x
  2. Step 2: Convert to fraction form
    4,954.54/6,835.80 = 2,830/x
  3. Step 3: Cross multiply
    4,954.54x = 6,835.80 × 2,830
  4. Step 4: Simplify right side
    4,954.54x = 19,345,314
  5. Step 5: Solve for x
    x = 19,345,314/4,954.54
  6. Step 6: Final answer
    x = 3,904.56

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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.