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Finding the Fourth Proportional to 4,255.06, 5,835.34 and 4,077.66

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Solution

The fourth proportional to 4,255.06, 5,835.34 and 4,077.66 is: 5,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.06 : 5,835.34 = 4,077.66 : x
  2. Step 2: Convert to fraction form
    4,255.06/5,835.34 = 4,077.66/x
  3. Step 3: Cross multiply
    4,255.06x = 5,835.34 × 4,077.66
  4. Step 4: Simplify right side
    4,255.06x = 23,794,532.50
  5. Step 5: Solve for x
    x = 23,794,532.50/4,255.06
  6. Step 6: Final answer
    x = 5,592.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.