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Finding the Fourth Proportional to 5,778.84, 8,663.01 and 3,002.26

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Solution

The fourth proportional to 5,778.84, 8,663.01 and 3,002.26 is: 4,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 8,663.01 = 3,002.26 : x
  2. Step 2: Convert to fraction form
    5,778.84/8,663.01 = 3,002.26/x
  3. Step 3: Cross multiply
    5,778.84x = 8,663.01 × 3,002.26
  4. Step 4: Simplify right side
    5,778.84x = 26,008,608.40
  5. Step 5: Solve for x
    x = 26,008,608.40/5,778.84
  6. Step 6: Final answer
    x = 4,500.66

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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.