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Finding the Fourth Proportional to 4,086.36, 6,129.54 and 1,164.66

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Solution

The fourth proportional to 4,086.36, 6,129.54 and 1,164.66 is: 1,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.36 : 6,129.54 = 1,164.66 : x
  2. Step 2: Convert to fraction form
    4,086.36/6,129.54 = 1,164.66/x
  3. Step 3: Cross multiply
    4,086.36x = 6,129.54 × 1,164.66
  4. Step 4: Simplify right side
    4,086.36x = 7,138,830.06
  5. Step 5: Solve for x
    x = 7,138,830.06/4,086.36
  6. Step 6: Final answer
    x = 1,746.99

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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.