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Finding the Fourth Proportional to 5,209.41, 7,807.50 and 3,751.41

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Solution

The fourth proportional to 5,209.41, 7,807.50 and 3,751.41 is: 5,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.41 : 7,807.50 = 3,751.41 : x
  2. Step 2: Convert to fraction form
    5,209.41/7,807.50 = 3,751.41/x
  3. Step 3: Cross multiply
    5,209.41x = 7,807.50 × 3,751.41
  4. Step 4: Simplify right side
    5,209.41x = 29,289,133.58
  5. Step 5: Solve for x
    x = 29,289,133.58/5,209.41
  6. Step 6: Final answer
    x = 5,622.35

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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.