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Finding the Fourth Proportional to 4,187.81, 5,777 and 2,485.33

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Solution

The fourth proportional to 4,187.81, 5,777 and 2,485.33 is: 3,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.81 : 5,777 = 2,485.33 : x
  2. Step 2: Convert to fraction form
    4,187.81/5,777 = 2,485.33/x
  3. Step 3: Cross multiply
    4,187.81x = 5,777 × 2,485.33
  4. Step 4: Simplify right side
    4,187.81x = 14,357,751.41
  5. Step 5: Solve for x
    x = 14,357,751.41/4,187.81
  6. Step 6: Final answer
    x = 3,428.46

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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.