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Finding the Fourth Proportional to 4,313.31, 6,473.07 and 2,122.68

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Solution

The fourth proportional to 4,313.31, 6,473.07 and 2,122.68 is: 3,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.31 : 6,473.07 = 2,122.68 : x
  2. Step 2: Convert to fraction form
    4,313.31/6,473.07 = 2,122.68/x
  3. Step 3: Cross multiply
    4,313.31x = 6,473.07 × 2,122.68
  4. Step 4: Simplify right side
    4,313.31x = 13,740,256.23
  5. Step 5: Solve for x
    x = 13,740,256.23/4,313.31
  6. Step 6: Final answer
    x = 3,185.55

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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.