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Finding the Fourth Proportional to 5,623.49, 7,754.59 and 4,829.44

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Solution

The fourth proportional to 5,623.49, 7,754.59 and 4,829.44 is: 6,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.49 : 7,754.59 = 4,829.44 : x
  2. Step 2: Convert to fraction form
    5,623.49/7,754.59 = 4,829.44/x
  3. Step 3: Cross multiply
    5,623.49x = 7,754.59 × 4,829.44
  4. Step 4: Simplify right side
    5,623.49x = 37,450,327.13
  5. Step 5: Solve for x
    x = 37,450,327.13/5,623.49
  6. Step 6: Final answer
    x = 6,659.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.