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Finding the Fourth Proportional to 5,406.52, 8,097.18 and 4,164.07

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Solution

The fourth proportional to 5,406.52, 8,097.18 and 4,164.07 is: 6,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.52 : 8,097.18 = 4,164.07 : x
  2. Step 2: Convert to fraction form
    5,406.52/8,097.18 = 4,164.07/x
  3. Step 3: Cross multiply
    5,406.52x = 8,097.18 × 4,164.07
  4. Step 4: Simplify right side
    5,406.52x = 33,717,224.32
  5. Step 5: Solve for x
    x = 33,717,224.32/5,406.52
  6. Step 6: Final answer
    x = 6,236.40

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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.