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Finding the Fourth Proportional to 5,562.75, 8,343.82 and 1,402.75

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Solution

The fourth proportional to 5,562.75, 8,343.82 and 1,402.75 is: 2,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.75 : 8,343.82 = 1,402.75 : x
  2. Step 2: Convert to fraction form
    5,562.75/8,343.82 = 1,402.75/x
  3. Step 3: Cross multiply
    5,562.75x = 8,343.82 × 1,402.75
  4. Step 4: Simplify right side
    5,562.75x = 11,704,293.51
  5. Step 5: Solve for x
    x = 11,704,293.51/5,562.75
  6. Step 6: Final answer
    x = 2,104.05

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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.