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Finding the Fourth Proportional to 5,347, 8,020.58 and 1,649.20

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Solution

The fourth proportional to 5,347, 8,020.58 and 1,649.20 is: 2,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347 : 8,020.58 = 1,649.20 : x
  2. Step 2: Convert to fraction form
    5,347/8,020.58 = 1,649.20/x
  3. Step 3: Cross multiply
    5,347x = 8,020.58 × 1,649.20
  4. Step 4: Simplify right side
    5,347x = 13,227,540.54
  5. Step 5: Solve for x
    x = 13,227,540.54/5,347
  6. Step 6: Final answer
    x = 2,473.82

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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.