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Finding the Fourth Proportional to 3,583.34, 4,944.90 and 2,011.46

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Solution

The fourth proportional to 3,583.34, 4,944.90 and 2,011.46 is: 2,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.34 : 4,944.90 = 2,011.46 : x
  2. Step 2: Convert to fraction form
    3,583.34/4,944.90 = 2,011.46/x
  3. Step 3: Cross multiply
    3,583.34x = 4,944.90 × 2,011.46
  4. Step 4: Simplify right side
    3,583.34x = 9,946,468.55
  5. Step 5: Solve for x
    x = 9,946,468.55/3,583.34
  6. Step 6: Final answer
    x = 2,775.75

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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.