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Finding the Fourth Proportional to 5,780.16, 8,667 and 3,698.87

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Solution

The fourth proportional to 5,780.16, 8,667 and 3,698.87 is: 5,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.16 : 8,667 = 3,698.87 : x
  2. Step 2: Convert to fraction form
    5,780.16/8,667 = 3,698.87/x
  3. Step 3: Cross multiply
    5,780.16x = 8,667 × 3,698.87
  4. Step 4: Simplify right side
    5,780.16x = 32,058,062.96
  5. Step 5: Solve for x
    x = 32,058,062.96/5,780.16
  6. Step 6: Final answer
    x = 5,546.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.