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Finding the Fourth Proportional to 3,648.66, 5,478.45 and 2,090.42

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Solution

The fourth proportional to 3,648.66, 5,478.45 and 2,090.42 is: 3,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.66 : 5,478.45 = 2,090.42 : x
  2. Step 2: Convert to fraction form
    3,648.66/5,478.45 = 2,090.42/x
  3. Step 3: Cross multiply
    3,648.66x = 5,478.45 × 2,090.42
  4. Step 4: Simplify right side
    3,648.66x = 11,452,261.45
  5. Step 5: Solve for x
    x = 11,452,261.45/3,648.66
  6. Step 6: Final answer
    x = 3,138.76

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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.