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Finding the Fourth Proportional to 5,751.95, 7,935.61 and 3,763.67

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Solution

The fourth proportional to 5,751.95, 7,935.61 and 3,763.67 is: 5,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.95 : 7,935.61 = 3,763.67 : x
  2. Step 2: Convert to fraction form
    5,751.95/7,935.61 = 3,763.67/x
  3. Step 3: Cross multiply
    5,751.95x = 7,935.61 × 3,763.67
  4. Step 4: Simplify right side
    5,751.95x = 29,866,998.47
  5. Step 5: Solve for x
    x = 29,866,998.47/5,751.95
  6. Step 6: Final answer
    x = 5,192.50

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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.