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Finding the Fourth Proportional to 5,253.08, 7,884.50 and 2,657.84

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Solution

The fourth proportional to 5,253.08, 7,884.50 and 2,657.84 is: 3,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.08 : 7,884.50 = 2,657.84 : x
  2. Step 2: Convert to fraction form
    5,253.08/7,884.50 = 2,657.84/x
  3. Step 3: Cross multiply
    5,253.08x = 7,884.50 × 2,657.84
  4. Step 4: Simplify right side
    5,253.08x = 20,955,739.48
  5. Step 5: Solve for x
    x = 20,955,739.48/5,253.08
  6. Step 6: Final answer
    x = 3,989.23

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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.