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Finding the Fourth Proportional to 5,806.74, 8,013.42 and 3,537.30

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Solution

The fourth proportional to 5,806.74, 8,013.42 and 3,537.30 is: 4,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.74 : 8,013.42 = 3,537.30 : x
  2. Step 2: Convert to fraction form
    5,806.74/8,013.42 = 3,537.30/x
  3. Step 3: Cross multiply
    5,806.74x = 8,013.42 × 3,537.30
  4. Step 4: Simplify right side
    5,806.74x = 28,345,870.57
  5. Step 5: Solve for x
    x = 28,345,870.57/5,806.74
  6. Step 6: Final answer
    x = 4,881.55

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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.