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Finding the Fourth Proportional to 5,347.20, 8,019.36 and 1,884

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Solution

The fourth proportional to 5,347.20, 8,019.36 and 1,884 is: 2,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.20 : 8,019.36 = 1,884 : x
  2. Step 2: Convert to fraction form
    5,347.20/8,019.36 = 1,884/x
  3. Step 3: Cross multiply
    5,347.20x = 8,019.36 × 1,884
  4. Step 4: Simplify right side
    5,347.20x = 15,108,474.24
  5. Step 5: Solve for x
    x = 15,108,474.24/5,347.20
  6. Step 6: Final answer
    x = 2,825.49

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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.