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Finding the Fourth Proportional to 6,490.33, 8,952.48 and 4,096.07

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Solution

The fourth proportional to 6,490.33, 8,952.48 and 4,096.07 is: 5,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.33 : 8,952.48 = 4,096.07 : x
  2. Step 2: Convert to fraction form
    6,490.33/8,952.48 = 4,096.07/x
  3. Step 3: Cross multiply
    6,490.33x = 8,952.48 × 4,096.07
  4. Step 4: Simplify right side
    6,490.33x = 36,669,973.56
  5. Step 5: Solve for x
    x = 36,669,973.56/6,490.33
  6. Step 6: Final answer
    x = 5,649.94

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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.