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Finding the Fourth Proportional to 5,393.81, 8,090.75 and 1,498.52

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Solution

The fourth proportional to 5,393.81, 8,090.75 and 1,498.52 is: 2,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.81 : 8,090.75 = 1,498.52 : x
  2. Step 2: Convert to fraction form
    5,393.81/8,090.75 = 1,498.52/x
  3. Step 3: Cross multiply
    5,393.81x = 8,090.75 × 1,498.52
  4. Step 4: Simplify right side
    5,393.81x = 12,124,113.98
  5. Step 5: Solve for x
    x = 12,124,113.98/5,393.81
  6. Step 6: Final answer
    x = 2,247.79

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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.