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Finding the Fourth Proportional to 3,583.32, 4,945.38 and 2,011.32

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Solution

The fourth proportional to 3,583.32, 4,945.38 and 2,011.32 is: 2,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.32 : 4,945.38 = 2,011.32 : x
  2. Step 2: Convert to fraction form
    3,583.32/4,945.38 = 2,011.32/x
  3. Step 3: Cross multiply
    3,583.32x = 4,945.38 × 2,011.32
  4. Step 4: Simplify right side
    3,583.32x = 9,946,741.70
  5. Step 5: Solve for x
    x = 9,946,741.70/3,583.32
  6. Step 6: Final answer
    x = 2,775.85

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Why These Related Problems?

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