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Finding the Fourth Proportional to 5,806.02, 8,012.43 and 3,569.10

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Solution

The fourth proportional to 5,806.02, 8,012.43 and 3,569.10 is: 4,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.02 : 8,012.43 = 3,569.10 : x
  2. Step 2: Convert to fraction form
    5,806.02/8,012.43 = 3,569.10/x
  3. Step 3: Cross multiply
    5,806.02x = 8,012.43 × 3,569.10
  4. Step 4: Simplify right side
    5,806.02x = 28,597,163.91
  5. Step 5: Solve for x
    x = 28,597,163.91/5,806.02
  6. Step 6: Final answer
    x = 4,925.43

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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.