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Finding the Fourth Proportional to 4,160.90, 5,737.38 and 2,835.38

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Solution

The fourth proportional to 4,160.90, 5,737.38 and 2,835.38 is: 3,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.90 : 5,737.38 = 2,835.38 : x
  2. Step 2: Convert to fraction form
    4,160.90/5,737.38 = 2,835.38/x
  3. Step 3: Cross multiply
    4,160.90x = 5,737.38 × 2,835.38
  4. Step 4: Simplify right side
    4,160.90x = 16,267,652.50
  5. Step 5: Solve for x
    x = 16,267,652.50/4,160.90
  6. Step 6: Final answer
    x = 3,909.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.