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Finding the Fourth Proportional to 5,342.90, 8,014.39 and 1,645.16

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Solution

The fourth proportional to 5,342.90, 8,014.39 and 1,645.16 is: 2,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.90 : 8,014.39 = 1,645.16 : x
  2. Step 2: Convert to fraction form
    5,342.90/8,014.39 = 1,645.16/x
  3. Step 3: Cross multiply
    5,342.90x = 8,014.39 × 1,645.16
  4. Step 4: Simplify right side
    5,342.90x = 13,184,964.00
  5. Step 5: Solve for x
    x = 13,184,964.00/5,342.90
  6. Step 6: Final answer
    x = 2,467.75

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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.