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Finding the Fourth Proportional to 5,782.66, 8,667.82 and 3,006.53

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Solution

The fourth proportional to 5,782.66, 8,667.82 and 3,006.53 is: 4,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.66 : 8,667.82 = 3,006.53 : x
  2. Step 2: Convert to fraction form
    5,782.66/8,667.82 = 3,006.53/x
  3. Step 3: Cross multiply
    5,782.66x = 8,667.82 × 3,006.53
  4. Step 4: Simplify right side
    5,782.66x = 26,060,060.86
  5. Step 5: Solve for x
    x = 26,060,060.86/5,782.66
  6. Step 6: Final answer
    x = 4,506.59

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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.