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Finding the Fourth Proportional to 5,835.78, 8,757.27 and 3,064.45

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Solution

The fourth proportional to 5,835.78, 8,757.27 and 3,064.45 is: 4,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.78 : 8,757.27 = 3,064.45 : x
  2. Step 2: Convert to fraction form
    5,835.78/8,757.27 = 3,064.45/x
  3. Step 3: Cross multiply
    5,835.78x = 8,757.27 × 3,064.45
  4. Step 4: Simplify right side
    5,835.78x = 26,836,182.67
  5. Step 5: Solve for x
    x = 26,836,182.67/5,835.78
  6. Step 6: Final answer
    x = 4,598.56

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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.