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Finding the Fourth Proportional to 3,583.32, 4,946.04 and 2,324.46

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Solution

The fourth proportional to 3,583.32, 4,946.04 and 2,324.46 is: 3,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.32 : 4,946.04 = 2,324.46 : x
  2. Step 2: Convert to fraction form
    3,583.32/4,946.04 = 2,324.46/x
  3. Step 3: Cross multiply
    3,583.32x = 4,946.04 × 2,324.46
  4. Step 4: Simplify right side
    3,583.32x = 11,496,872.14
  5. Step 5: Solve for x
    x = 11,496,872.14/3,583.32
  6. Step 6: Final answer
    x = 3,208.44

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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.