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Finding the Fourth Proportional to 5,538.93, 8,308.43 and 1,378.94

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Solution

The fourth proportional to 5,538.93, 8,308.43 and 1,378.94 is: 2,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.93 : 8,308.43 = 1,378.94 : x
  2. Step 2: Convert to fraction form
    5,538.93/8,308.43 = 1,378.94/x
  3. Step 3: Cross multiply
    5,538.93x = 8,308.43 × 1,378.94
  4. Step 4: Simplify right side
    5,538.93x = 11,456,826.46
  5. Step 5: Solve for x
    x = 11,456,826.46/5,538.93
  6. Step 6: Final answer
    x = 2,068.42

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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.