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Finding the Fourth Proportional to 5,398.56, 7,453.47 and 4,406.22

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Solution

The fourth proportional to 5,398.56, 7,453.47 and 4,406.22 is: 6,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.56 : 7,453.47 = 4,406.22 : x
  2. Step 2: Convert to fraction form
    5,398.56/7,453.47 = 4,406.22/x
  3. Step 3: Cross multiply
    5,398.56x = 7,453.47 × 4,406.22
  4. Step 4: Simplify right side
    5,398.56x = 32,841,628.58
  5. Step 5: Solve for x
    x = 32,841,628.58/5,398.56
  6. Step 6: Final answer
    x = 6,083.41

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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.