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Finding the Fourth Proportional to 4,187.46, 5,778.21 and 2,485.71

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Solution

The fourth proportional to 4,187.46, 5,778.21 and 2,485.71 is: 3,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.46 : 5,778.21 = 2,485.71 : x
  2. Step 2: Convert to fraction form
    4,187.46/5,778.21 = 2,485.71/x
  3. Step 3: Cross multiply
    4,187.46x = 5,778.21 × 2,485.71
  4. Step 4: Simplify right side
    4,187.46x = 14,362,954.38
  5. Step 5: Solve for x
    x = 14,362,954.38/4,187.46
  6. Step 6: Final answer
    x = 3,429.99

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Why These Related Problems?

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