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Finding the Fourth Proportional to 4,045.74, 6,025.86 and 3,865.86

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Solution

The fourth proportional to 4,045.74, 6,025.86 and 3,865.86 is: 5,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045.74 : 6,025.86 = 3,865.86 : x
  2. Step 2: Convert to fraction form
    4,045.74/6,025.86 = 3,865.86/x
  3. Step 3: Cross multiply
    4,045.74x = 6,025.86 × 3,865.86
  4. Step 4: Simplify right side
    4,045.74x = 23,295,131.14
  5. Step 5: Solve for x
    x = 23,295,131.14/4,045.74
  6. Step 6: Final answer
    x = 5,757.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.