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Finding the Fourth Proportional to 5,160.38, 7,123.05 and 3,035.84

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Solution

The fourth proportional to 5,160.38, 7,123.05 and 3,035.84 is: 4,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.38 : 7,123.05 = 3,035.84 : x
  2. Step 2: Convert to fraction form
    5,160.38/7,123.05 = 3,035.84/x
  3. Step 3: Cross multiply
    5,160.38x = 7,123.05 × 3,035.84
  4. Step 4: Simplify right side
    5,160.38x = 21,624,404.50
  5. Step 5: Solve for x
    x = 21,624,404.50/5,160.38
  6. Step 6: Final answer
    x = 4,190.47

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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.