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Finding the Fourth Proportional to 4,967.02, 7,450.80 and 1,682.26

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Solution

The fourth proportional to 4,967.02, 7,450.80 and 1,682.26 is: 2,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.02 : 7,450.80 = 1,682.26 : x
  2. Step 2: Convert to fraction form
    4,967.02/7,450.80 = 1,682.26/x
  3. Step 3: Cross multiply
    4,967.02x = 7,450.80 × 1,682.26
  4. Step 4: Simplify right side
    4,967.02x = 12,534,182.81
  5. Step 5: Solve for x
    x = 12,534,182.81/4,967.02
  6. Step 6: Final answer
    x = 2,523.48

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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.