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Finding the Fourth Proportional to 3,490.33, 4,816.88 and 2,164.92

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Solution

The fourth proportional to 3,490.33, 4,816.88 and 2,164.92 is: 2,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.33 : 4,816.88 = 2,164.92 : x
  2. Step 2: Convert to fraction form
    3,490.33/4,816.88 = 2,164.92/x
  3. Step 3: Cross multiply
    3,490.33x = 4,816.88 × 2,164.92
  4. Step 4: Simplify right side
    3,490.33x = 10,428,159.85
  5. Step 5: Solve for x
    x = 10,428,159.85/3,490.33
  6. Step 6: Final answer
    x = 2,987.73

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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.