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Finding the Fourth Proportional to 4,142.68, 6,213.98 and 1,950.21

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Solution

The fourth proportional to 4,142.68, 6,213.98 and 1,950.21 is: 2,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.68 : 6,213.98 = 1,950.21 : x
  2. Step 2: Convert to fraction form
    4,142.68/6,213.98 = 1,950.21/x
  3. Step 3: Cross multiply
    4,142.68x = 6,213.98 × 1,950.21
  4. Step 4: Simplify right side
    4,142.68x = 12,118,570.81
  5. Step 5: Solve for x
    x = 12,118,570.81/4,142.68
  6. Step 6: Final answer
    x = 2,925.30

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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.