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Finding the Fourth Proportional to 3,583.34, 4,947.07 and 2,388.01

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Solution

The fourth proportional to 3,583.34, 4,947.07 and 2,388.01 is: 3,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.34 : 4,947.07 = 2,388.01 : x
  2. Step 2: Convert to fraction form
    3,583.34/4,947.07 = 2,388.01/x
  3. Step 3: Cross multiply
    3,583.34x = 4,947.07 × 2,388.01
  4. Step 4: Simplify right side
    3,583.34x = 11,813,652.63
  5. Step 5: Solve for x
    x = 11,813,652.63/3,583.34
  6. Step 6: Final answer
    x = 3,296.83

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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.