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Finding the Fourth Proportional to 4,807.94, 7,209.41 and 3,247.88

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Solution

The fourth proportional to 4,807.94, 7,209.41 and 3,247.88 is: 4,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.94 : 7,209.41 = 3,247.88 : x
  2. Step 2: Convert to fraction form
    4,807.94/7,209.41 = 3,247.88/x
  3. Step 3: Cross multiply
    4,807.94x = 7,209.41 × 3,247.88
  4. Step 4: Simplify right side
    4,807.94x = 23,415,246.26
  5. Step 5: Solve for x
    x = 23,415,246.26/4,807.94
  6. Step 6: Final answer
    x = 4,870.13

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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.