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Finding the Fourth Proportional to 5,890.14, 8,828.73 and 3,937.50

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Solution

The fourth proportional to 5,890.14, 8,828.73 and 3,937.50 is: 5,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.14 : 8,828.73 = 3,937.50 : x
  2. Step 2: Convert to fraction form
    5,890.14/8,828.73 = 3,937.50/x
  3. Step 3: Cross multiply
    5,890.14x = 8,828.73 × 3,937.50
  4. Step 4: Simplify right side
    5,890.14x = 34,763,124.38
  5. Step 5: Solve for x
    x = 34,763,124.38/5,890.14
  6. Step 6: Final answer
    x = 5,901.92

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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.