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Finding the Fourth Proportional to 3,215.79, 4,823.10 and 1,137.33

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Solution

The fourth proportional to 3,215.79, 4,823.10 and 1,137.33 is: 1,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.79 : 4,823.10 = 1,137.33 : x
  2. Step 2: Convert to fraction form
    3,215.79/4,823.10 = 1,137.33/x
  3. Step 3: Cross multiply
    3,215.79x = 4,823.10 × 1,137.33
  4. Step 4: Simplify right side
    3,215.79x = 5,485,456.32
  5. Step 5: Solve for x
    x = 5,485,456.32/3,215.79
  6. Step 6: Final answer
    x = 1,705.79

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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.