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Finding the Fourth Proportional to 5,809.75, 8,017.49 and 3,157.16

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Solution

The fourth proportional to 5,809.75, 8,017.49 and 3,157.16 is: 4,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.75 : 8,017.49 = 3,157.16 : x
  2. Step 2: Convert to fraction form
    5,809.75/8,017.49 = 3,157.16/x
  3. Step 3: Cross multiply
    5,809.75x = 8,017.49 × 3,157.16
  4. Step 4: Simplify right side
    5,809.75x = 25,312,498.73
  5. Step 5: Solve for x
    x = 25,312,498.73/5,809.75
  6. Step 6: Final answer
    x = 4,356.90

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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.