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Finding the Fourth Proportional to 5,167.89, 7,752.09 and 2,246.10

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Solution

The fourth proportional to 5,167.89, 7,752.09 and 2,246.10 is: 3,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.89 : 7,752.09 = 2,246.10 : x
  2. Step 2: Convert to fraction form
    5,167.89/7,752.09 = 2,246.10/x
  3. Step 3: Cross multiply
    5,167.89x = 7,752.09 × 2,246.10
  4. Step 4: Simplify right side
    5,167.89x = 17,411,969.35
  5. Step 5: Solve for x
    x = 17,411,969.35/5,167.89
  6. Step 6: Final answer
    x = 3,369.26

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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.