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Finding the Fourth Proportional to 4,107.04, 6,152.40 and 3,771.04

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Solution

The fourth proportional to 4,107.04, 6,152.40 and 3,771.04 is: 5,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.04 : 6,152.40 = 3,771.04 : x
  2. Step 2: Convert to fraction form
    4,107.04/6,152.40 = 3,771.04/x
  3. Step 3: Cross multiply
    4,107.04x = 6,152.40 × 3,771.04
  4. Step 4: Simplify right side
    4,107.04x = 23,200,946.50
  5. Step 5: Solve for x
    x = 23,200,946.50/4,107.04
  6. Step 6: Final answer
    x = 5,649.07

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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.