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Finding the Fourth Proportional to 6,409, 8,844.57 and 3,614.50

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Solution

The fourth proportional to 6,409, 8,844.57 and 3,614.50 is: 4,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409 : 8,844.57 = 3,614.50 : x
  2. Step 2: Convert to fraction form
    6,409/8,844.57 = 3,614.50/x
  3. Step 3: Cross multiply
    6,409x = 8,844.57 × 3,614.50
  4. Step 4: Simplify right side
    6,409x = 31,968,698.27
  5. Step 5: Solve for x
    x = 31,968,698.27/6,409
  6. Step 6: Final answer
    x = 4,988.09

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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.