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Finding the Fourth Proportional to 6,971.45, 10,457.64 and 2,290.22

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Solution

The fourth proportional to 6,971.45, 10,457.64 and 2,290.22 is: 3,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.45 : 10,457.64 = 2,290.22 : x
  2. Step 2: Convert to fraction form
    6,971.45/10,457.64 = 2,290.22/x
  3. Step 3: Cross multiply
    6,971.45x = 10,457.64 × 2,290.22
  4. Step 4: Simplify right side
    6,971.45x = 23,950,243.99
  5. Step 5: Solve for x
    x = 23,950,243.99/6,971.45
  6. Step 6: Final answer
    x = 3,435.48

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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.