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Finding the Fourth Proportional to 6,971.66, 10,453.71 and 2,290.58

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Solution

The fourth proportional to 6,971.66, 10,453.71 and 2,290.58 is: 3,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.66 : 10,453.71 = 2,290.58 : x
  2. Step 2: Convert to fraction form
    6,971.66/10,453.71 = 2,290.58/x
  3. Step 3: Cross multiply
    6,971.66x = 10,453.71 × 2,290.58
  4. Step 4: Simplify right side
    6,971.66x = 23,945,059.05
  5. Step 5: Solve for x
    x = 23,945,059.05/6,971.66
  6. Step 6: Final answer
    x = 3,434.63

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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.