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Finding the Fourth Proportional to 4,662.23, 6,991.25 and 1,374.17

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Solution

The fourth proportional to 4,662.23, 6,991.25 and 1,374.17 is: 2,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.23 : 6,991.25 = 1,374.17 : x
  2. Step 2: Convert to fraction form
    4,662.23/6,991.25 = 1,374.17/x
  3. Step 3: Cross multiply
    4,662.23x = 6,991.25 × 1,374.17
  4. Step 4: Simplify right side
    4,662.23x = 9,607,166.01
  5. Step 5: Solve for x
    x = 9,607,166.01/4,662.23
  6. Step 6: Final answer
    x = 2,060.64

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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.