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Finding the Fourth Proportional to 5,780.64, 8,667.30 and 3,185.40

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Solution

The fourth proportional to 5,780.64, 8,667.30 and 3,185.40 is: 4,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.64 : 8,667.30 = 3,185.40 : x
  2. Step 2: Convert to fraction form
    5,780.64/8,667.30 = 3,185.40/x
  3. Step 3: Cross multiply
    5,780.64x = 8,667.30 × 3,185.40
  4. Step 4: Simplify right side
    5,780.64x = 27,608,817.42
  5. Step 5: Solve for x
    x = 27,608,817.42/5,780.64
  6. Step 6: Final answer
    x = 4,776.08

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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.