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Finding the Fourth Proportional to 5,535.96, 8,303.92 and 1,838.47

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Solution

The fourth proportional to 5,535.96, 8,303.92 and 1,838.47 is: 2,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.96 : 8,303.92 = 1,838.47 : x
  2. Step 2: Convert to fraction form
    5,535.96/8,303.92 = 1,838.47/x
  3. Step 3: Cross multiply
    5,535.96x = 8,303.92 × 1,838.47
  4. Step 4: Simplify right side
    5,535.96x = 15,266,507.80
  5. Step 5: Solve for x
    x = 15,266,507.80/5,535.96
  6. Step 6: Final answer
    x = 2,757.70

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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.