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Finding the Fourth Proportional to 5,344.24, 7,380.12 and 5,053.36

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Solution

The fourth proportional to 5,344.24, 7,380.12 and 5,053.36 is: 6,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.24 : 7,380.12 = 5,053.36 : x
  2. Step 2: Convert to fraction form
    5,344.24/7,380.12 = 5,053.36/x
  3. Step 3: Cross multiply
    5,344.24x = 7,380.12 × 5,053.36
  4. Step 4: Simplify right side
    5,344.24x = 37,294,403.20
  5. Step 5: Solve for x
    x = 37,294,403.20/5,344.24
  6. Step 6: Final answer
    x = 6,978.43

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1.5x scale

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.