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Finding the Fourth Proportional to 5,805.64, 8,013.06 and 3,569.41

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Solution

The fourth proportional to 5,805.64, 8,013.06 and 3,569.41 is: 4,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.64 : 8,013.06 = 3,569.41 : x
  2. Step 2: Convert to fraction form
    5,805.64/8,013.06 = 3,569.41/x
  3. Step 3: Cross multiply
    5,805.64x = 8,013.06 × 3,569.41
  4. Step 4: Simplify right side
    5,805.64x = 28,601,896.49
  5. Step 5: Solve for x
    x = 28,601,896.49/5,805.64
  6. Step 6: Final answer
    x = 4,926.57

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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.