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Finding the Fourth Proportional to 4,190.01, 5,783.57 and 3,014.50

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Solution

The fourth proportional to 4,190.01, 5,783.57 and 3,014.50 is: 4,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.01 : 5,783.57 = 3,014.50 : x
  2. Step 2: Convert to fraction form
    4,190.01/5,783.57 = 3,014.50/x
  3. Step 3: Cross multiply
    4,190.01x = 5,783.57 × 3,014.50
  4. Step 4: Simplify right side
    4,190.01x = 17,434,571.77
  5. Step 5: Solve for x
    x = 17,434,571.77/4,190.01
  6. Step 6: Final answer
    x = 4,160.99

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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.