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Finding the Fourth Proportional to 4,107.08, 6,160.46 and 1,371.08

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Solution

The fourth proportional to 4,107.08, 6,160.46 and 1,371.08 is: 2,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.08 : 6,160.46 = 1,371.08 : x
  2. Step 2: Convert to fraction form
    4,107.08/6,160.46 = 1,371.08/x
  3. Step 3: Cross multiply
    4,107.08x = 6,160.46 × 1,371.08
  4. Step 4: Simplify right side
    4,107.08x = 8,446,483.50
  5. Step 5: Solve for x
    x = 8,446,483.50/4,107.08
  6. Step 6: Final answer
    x = 2,056.57

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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.