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Finding the Fourth Proportional to 4,107.90, 6,156.18 and 3,913.50

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Solution

The fourth proportional to 4,107.90, 6,156.18 and 3,913.50 is: 5,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.90 : 6,156.18 = 3,913.50 : x
  2. Step 2: Convert to fraction form
    4,107.90/6,156.18 = 3,913.50/x
  3. Step 3: Cross multiply
    4,107.90x = 6,156.18 × 3,913.50
  4. Step 4: Simplify right side
    4,107.90x = 24,092,210.43
  5. Step 5: Solve for x
    x = 24,092,210.43/4,107.90
  6. Step 6: Final answer
    x = 5,864.85

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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.