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Finding the Fourth Proportional to 3,649.29, 5,474.64 and 1,308.66

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Solution

The fourth proportional to 3,649.29, 5,474.64 and 1,308.66 is: 1,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.29 : 5,474.64 = 1,308.66 : x
  2. Step 2: Convert to fraction form
    3,649.29/5,474.64 = 1,308.66/x
  3. Step 3: Cross multiply
    3,649.29x = 5,474.64 × 1,308.66
  4. Step 4: Simplify right side
    3,649.29x = 7,164,442.38
  5. Step 5: Solve for x
    x = 7,164,442.38/3,649.29
  6. Step 6: Final answer
    x = 1,963.24

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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.