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Finding the Fourth Proportional to 5,433.68, 8,145.63 and 1,968.50

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Solution

The fourth proportional to 5,433.68, 8,145.63 and 1,968.50 is: 2,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.68 : 8,145.63 = 1,968.50 : x
  2. Step 2: Convert to fraction form
    5,433.68/8,145.63 = 1,968.50/x
  3. Step 3: Cross multiply
    5,433.68x = 8,145.63 × 1,968.50
  4. Step 4: Simplify right side
    5,433.68x = 16,034,672.66
  5. Step 5: Solve for x
    x = 16,034,672.66/5,433.68
  6. Step 6: Final answer
    x = 2,950.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.