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Finding the Fourth Proportional to 3,583.31, 4,946.67 and 2,390.31

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Solution

The fourth proportional to 3,583.31, 4,946.67 and 2,390.31 is: 3,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.31 : 4,946.67 = 2,390.31 : x
  2. Step 2: Convert to fraction form
    3,583.31/4,946.67 = 2,390.31/x
  3. Step 3: Cross multiply
    3,583.31x = 4,946.67 × 2,390.31
  4. Step 4: Simplify right side
    3,583.31x = 11,824,074.77
  5. Step 5: Solve for x
    x = 11,824,074.77/3,583.31
  6. Step 6: Final answer
    x = 3,299.77

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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.