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Finding the Fourth Proportional to 5,342.68, 8,013.79 and 1,645.28

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Solution

The fourth proportional to 5,342.68, 8,013.79 and 1,645.28 is: 2,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.68 : 8,013.79 = 1,645.28 : x
  2. Step 2: Convert to fraction form
    5,342.68/8,013.79 = 1,645.28/x
  3. Step 3: Cross multiply
    5,342.68x = 8,013.79 × 1,645.28
  4. Step 4: Simplify right side
    5,342.68x = 13,184,911.20
  5. Step 5: Solve for x
    x = 13,184,911.20/5,342.68
  6. Step 6: Final answer
    x = 2,467.85

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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.