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Finding the Fourth Proportional to 5,533.68, 8,306.19 and 4,314.42

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Solution

The fourth proportional to 5,533.68, 8,306.19 and 4,314.42 is: 6,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.68 : 8,306.19 = 4,314.42 : x
  2. Step 2: Convert to fraction form
    5,533.68/8,306.19 = 4,314.42/x
  3. Step 3: Cross multiply
    5,533.68x = 8,306.19 × 4,314.42
  4. Step 4: Simplify right side
    5,533.68x = 35,836,392.26
  5. Step 5: Solve for x
    x = 35,836,392.26/5,533.68
  6. Step 6: Final answer
    x = 6,476.05

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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.