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Finding the Fourth Proportional to 4,147.65, 6,221.32 and 1,681.81

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Solution

The fourth proportional to 4,147.65, 6,221.32 and 1,681.81 is: 2,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.65 : 6,221.32 = 1,681.81 : x
  2. Step 2: Convert to fraction form
    4,147.65/6,221.32 = 1,681.81/x
  3. Step 3: Cross multiply
    4,147.65x = 6,221.32 × 1,681.81
  4. Step 4: Simplify right side
    4,147.65x = 10,463,058.43
  5. Step 5: Solve for x
    x = 10,463,058.43/4,147.65
  6. Step 6: Final answer
    x = 2,522.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.