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Finding the Fourth Proportional to 4,025.26, 6,032.22 and 3,803.50

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Solution

The fourth proportional to 4,025.26, 6,032.22 and 3,803.50 is: 5,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,025.26 : 6,032.22 = 3,803.50 : x
  2. Step 2: Convert to fraction form
    4,025.26/6,032.22 = 3,803.50/x
  3. Step 3: Cross multiply
    4,025.26x = 6,032.22 × 3,803.50
  4. Step 4: Simplify right side
    4,025.26x = 22,943,548.77
  5. Step 5: Solve for x
    x = 22,943,548.77/4,025.26
  6. Step 6: Final answer
    x = 5,699.89

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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.