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Finding the Fourth Proportional to 3,642.46, 5,029.00 and 2,801.61

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Solution

The fourth proportional to 3,642.46, 5,029.00 and 2,801.61 is: 3,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.46 : 5,029.00 = 2,801.61 : x
  2. Step 2: Convert to fraction form
    3,642.46/5,029.00 = 2,801.61/x
  3. Step 3: Cross multiply
    3,642.46x = 5,029.00 × 2,801.61
  4. Step 4: Simplify right side
    3,642.46x = 14,089,289.69
  5. Step 5: Solve for x
    x = 14,089,289.69/3,642.46
  6. Step 6: Final answer
    x = 3,868.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.