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Finding the Fourth Proportional to 4,220.68, 6,329.64 and 1,408.76

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Solution

The fourth proportional to 4,220.68, 6,329.64 and 1,408.76 is: 2,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.68 : 6,329.64 = 1,408.76 : x
  2. Step 2: Convert to fraction form
    4,220.68/6,329.64 = 1,408.76/x
  3. Step 3: Cross multiply
    4,220.68x = 6,329.64 × 1,408.76
  4. Step 4: Simplify right side
    4,220.68x = 8,916,943.65
  5. Step 5: Solve for x
    x = 8,916,943.65/4,220.68
  6. Step 6: Final answer
    x = 2,112.68

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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.