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Finding the Fourth Proportional to 6,446.65, 8,896.41 and 3,614.08

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Solution

The fourth proportional to 6,446.65, 8,896.41 and 3,614.08 is: 4,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.65 : 8,896.41 = 3,614.08 : x
  2. Step 2: Convert to fraction form
    6,446.65/8,896.41 = 3,614.08/x
  3. Step 3: Cross multiply
    6,446.65x = 8,896.41 × 3,614.08
  4. Step 4: Simplify right side
    6,446.65x = 32,152,337.45
  5. Step 5: Solve for x
    x = 32,152,337.45/6,446.65
  6. Step 6: Final answer
    x = 4,987.45

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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.