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Finding the Fourth Proportional to 6,448.81, 8,896.18 and 4,061.65

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Solution

The fourth proportional to 6,448.81, 8,896.18 and 4,061.65 is: 5,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.81 : 8,896.18 = 4,061.65 : x
  2. Step 2: Convert to fraction form
    6,448.81/8,896.18 = 4,061.65/x
  3. Step 3: Cross multiply
    6,448.81x = 8,896.18 × 4,061.65
  4. Step 4: Simplify right side
    6,448.81x = 36,133,169.50
  5. Step 5: Solve for x
    x = 36,133,169.50/6,448.81
  6. Step 6: Final answer
    x = 5,603.08

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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.