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Finding the Fourth Proportional to 4,572.32, 6,309.97 and 2,583.09

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Solution

The fourth proportional to 4,572.32, 6,309.97 and 2,583.09 is: 3,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.32 : 6,309.97 = 2,583.09 : x
  2. Step 2: Convert to fraction form
    4,572.32/6,309.97 = 2,583.09/x
  3. Step 3: Cross multiply
    4,572.32x = 6,309.97 × 2,583.09
  4. Step 4: Simplify right side
    4,572.32x = 16,299,213.95
  5. Step 5: Solve for x
    x = 16,299,213.95/4,572.32
  6. Step 6: Final answer
    x = 3,564.76

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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.