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Finding the Fourth Proportional to 3,313.92, 4,967.62 and 1,583.76

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Solution

The fourth proportional to 3,313.92, 4,967.62 and 1,583.76 is: 2,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.92 : 4,967.62 = 1,583.76 : x
  2. Step 2: Convert to fraction form
    3,313.92/4,967.62 = 1,583.76/x
  3. Step 3: Cross multiply
    3,313.92x = 4,967.62 × 1,583.76
  4. Step 4: Simplify right side
    3,313.92x = 7,867,517.85
  5. Step 5: Solve for x
    x = 7,867,517.85/3,313.92
  6. Step 6: Final answer
    x = 2,374.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.