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Finding the Fourth Proportional to 5,965.08, 8,950.50 and 2,457.66

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Solution

The fourth proportional to 5,965.08, 8,950.50 and 2,457.66 is: 3,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.08 : 8,950.50 = 2,457.66 : x
  2. Step 2: Convert to fraction form
    5,965.08/8,950.50 = 2,457.66/x
  3. Step 3: Cross multiply
    5,965.08x = 8,950.50 × 2,457.66
  4. Step 4: Simplify right side
    5,965.08x = 21,997,285.83
  5. Step 5: Solve for x
    x = 21,997,285.83/5,965.08
  6. Step 6: Final answer
    x = 3,687.68

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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.