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Finding the Fourth Proportional to 5,835.86, 8,758.85 and 3,064.49

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Solution

The fourth proportional to 5,835.86, 8,758.85 and 3,064.49 is: 4,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.86 : 8,758.85 = 3,064.49 : x
  2. Step 2: Convert to fraction form
    5,835.86/8,758.85 = 3,064.49/x
  3. Step 3: Cross multiply
    5,835.86x = 8,758.85 × 3,064.49
  4. Step 4: Simplify right side
    5,835.86x = 26,841,408.24
  5. Step 5: Solve for x
    x = 26,841,408.24/5,835.86
  6. Step 6: Final answer
    x = 4,599.39

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Why These Related Problems?

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