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Finding the Fourth Proportional to 4,940.80, 7,417.04 and 3,901.50

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Solution

The fourth proportional to 4,940.80, 7,417.04 and 3,901.50 is: 5,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.80 : 7,417.04 = 3,901.50 : x
  2. Step 2: Convert to fraction form
    4,940.80/7,417.04 = 3,901.50/x
  3. Step 3: Cross multiply
    4,940.80x = 7,417.04 × 3,901.50
  4. Step 4: Simplify right side
    4,940.80x = 28,937,562.05
  5. Step 5: Solve for x
    x = 28,937,562.05/4,940.80
  6. Step 6: Final answer
    x = 5,856.86

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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.