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Finding the Fourth Proportional to 5,950.88, 8,940 and 4,199.92

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Solution

The fourth proportional to 5,950.88, 8,940 and 4,199.92 is: 6,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.88 : 8,940 = 4,199.92 : x
  2. Step 2: Convert to fraction form
    5,950.88/8,940 = 4,199.92/x
  3. Step 3: Cross multiply
    5,950.88x = 8,940 × 4,199.92
  4. Step 4: Simplify right side
    5,950.88x = 37,547,284.80
  5. Step 5: Solve for x
    x = 37,547,284.80/5,950.88
  6. Step 6: Final answer
    x = 6,309.53

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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.