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Finding the Fourth Proportional to 4,086.31, 6,128.45 and 1,164.64

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Solution

The fourth proportional to 4,086.31, 6,128.45 and 1,164.64 is: 1,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.31 : 6,128.45 = 1,164.64 : x
  2. Step 2: Convert to fraction form
    4,086.31/6,128.45 = 1,164.64/x
  3. Step 3: Cross multiply
    4,086.31x = 6,128.45 × 1,164.64
  4. Step 4: Simplify right side
    4,086.31x = 7,137,401.54
  5. Step 5: Solve for x
    x = 7,137,401.54/4,086.31
  6. Step 6: Final answer
    x = 1,746.66

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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.