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Finding the Fourth Proportional to 5,348.58, 8,023.74 and 1,649.95

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Solution

The fourth proportional to 5,348.58, 8,023.74 and 1,649.95 is: 2,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.58 : 8,023.74 = 1,649.95 : x
  2. Step 2: Convert to fraction form
    5,348.58/8,023.74 = 1,649.95/x
  3. Step 3: Cross multiply
    5,348.58x = 8,023.74 × 1,649.95
  4. Step 4: Simplify right side
    5,348.58x = 13,238,797.98
  5. Step 5: Solve for x
    x = 13,238,797.98/5,348.58
  6. Step 6: Final answer
    x = 2,475.20

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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.