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Finding the Fourth Proportional to 4,935.86, 7,405.00 and 3,477.86

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Solution

The fourth proportional to 4,935.86, 7,405.00 and 3,477.86 is: 5,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.86 : 7,405.00 = 3,477.86 : x
  2. Step 2: Convert to fraction form
    4,935.86/7,405.00 = 3,477.86/x
  3. Step 3: Cross multiply
    4,935.86x = 7,405.00 × 3,477.86
  4. Step 4: Simplify right side
    4,935.86x = 25,753,535.35
  5. Step 5: Solve for x
    x = 25,753,535.35/4,935.86
  6. Step 6: Final answer
    x = 5,217.64

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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.