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Finding the Fourth Proportional to 5,740.92, 8,618.76 and 3,900.24

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Solution

The fourth proportional to 5,740.92, 8,618.76 and 3,900.24 is: 5,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.92 : 8,618.76 = 3,900.24 : x
  2. Step 2: Convert to fraction form
    5,740.92/8,618.76 = 3,900.24/x
  3. Step 3: Cross multiply
    5,740.92x = 8,618.76 × 3,900.24
  4. Step 4: Simplify right side
    5,740.92x = 33,615,232.50
  5. Step 5: Solve for x
    x = 33,615,232.50/5,740.92
  6. Step 6: Final answer
    x = 5,855.37

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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.