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Finding the Fourth Proportional to 4,682.44, 7,002.96 and 4,166.05

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Solution

The fourth proportional to 4,682.44, 7,002.96 and 4,166.05 is: 6,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.44 : 7,002.96 = 4,166.05 : x
  2. Step 2: Convert to fraction form
    4,682.44/7,002.96 = 4,166.05/x
  3. Step 3: Cross multiply
    4,682.44x = 7,002.96 × 4,166.05
  4. Step 4: Simplify right side
    4,682.44x = 29,174,681.51
  5. Step 5: Solve for x
    x = 29,174,681.51/4,682.44
  6. Step 6: Final answer
    x = 6,230.66

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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.