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Finding the Fourth Proportional to 5,406.78, 8,097.56 and 4,164.32

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Solution

The fourth proportional to 5,406.78, 8,097.56 and 4,164.32 is: 6,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.78 : 8,097.56 = 4,164.32 : x
  2. Step 2: Convert to fraction form
    5,406.78/8,097.56 = 4,164.32/x
  3. Step 3: Cross multiply
    5,406.78x = 8,097.56 × 4,164.32
  4. Step 4: Simplify right side
    5,406.78x = 33,720,831.06
  5. Step 5: Solve for x
    x = 33,720,831.06/5,406.78
  6. Step 6: Final answer
    x = 6,236.77

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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.