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Finding the Fourth Proportional to 6,533.39, 9,800.39 and 1,853.42

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Solution

The fourth proportional to 6,533.39, 9,800.39 and 1,853.42 is: 2,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.39 : 9,800.39 = 1,853.42 : x
  2. Step 2: Convert to fraction form
    6,533.39/9,800.39 = 1,853.42/x
  3. Step 3: Cross multiply
    6,533.39x = 9,800.39 × 1,853.42
  4. Step 4: Simplify right side
    6,533.39x = 18,164,194.47
  5. Step 5: Solve for x
    x = 18,164,194.47/6,533.39
  6. Step 6: Final answer
    x = 2,780.21

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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.