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Finding the Fourth Proportional to 7,065.40, 9,750.37 and 3,879

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Solution

The fourth proportional to 7,065.40, 9,750.37 and 3,879 is: 5,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.40 : 9,750.37 = 3,879 : x
  2. Step 2: Convert to fraction form
    7,065.40/9,750.37 = 3,879/x
  3. Step 3: Cross multiply
    7,065.40x = 9,750.37 × 3,879
  4. Step 4: Simplify right side
    7,065.40x = 37,821,685.23
  5. Step 5: Solve for x
    x = 37,821,685.23/7,065.40
  6. Step 6: Final answer
    x = 5,353.08

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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.