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Finding the Fourth Proportional to 5,782.14, 8,667.06 and 3,006.03

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Solution

The fourth proportional to 5,782.14, 8,667.06 and 3,006.03 is: 4,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.14 : 8,667.06 = 3,006.03 : x
  2. Step 2: Convert to fraction form
    5,782.14/8,667.06 = 3,006.03/x
  3. Step 3: Cross multiply
    5,782.14x = 8,667.06 × 3,006.03
  4. Step 4: Simplify right side
    5,782.14x = 26,053,442.37
  5. Step 5: Solve for x
    x = 26,053,442.37/5,782.14
  6. Step 6: Final answer
    x = 4,505.85

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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.