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Finding the Fourth Proportional to 5,809.57, 8,017.26 and 3,156.98

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Solution

The fourth proportional to 5,809.57, 8,017.26 and 3,156.98 is: 4,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.57 : 8,017.26 = 3,156.98 : x
  2. Step 2: Convert to fraction form
    5,809.57/8,017.26 = 3,156.98/x
  3. Step 3: Cross multiply
    5,809.57x = 8,017.26 × 3,156.98
  4. Step 4: Simplify right side
    5,809.57x = 25,310,321.58
  5. Step 5: Solve for x
    x = 25,310,321.58/5,809.57
  6. Step 6: Final answer
    x = 4,356.66

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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.