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Finding the Fourth Proportional to 5,398.55, 8,094.78 and 1,649.66

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Solution

The fourth proportional to 5,398.55, 8,094.78 and 1,649.66 is: 2,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.55 : 8,094.78 = 1,649.66 : x
  2. Step 2: Convert to fraction form
    5,398.55/8,094.78 = 1,649.66/x
  3. Step 3: Cross multiply
    5,398.55x = 8,094.78 × 1,649.66
  4. Step 4: Simplify right side
    5,398.55x = 13,353,634.77
  5. Step 5: Solve for x
    x = 13,353,634.77/5,398.55
  6. Step 6: Final answer
    x = 2,473.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.