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Finding the Fourth Proportional to 4,328.89, 6,493.74 and 1,406.41

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Solution

The fourth proportional to 4,328.89, 6,493.74 and 1,406.41 is: 2,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.89 : 6,493.74 = 1,406.41 : x
  2. Step 2: Convert to fraction form
    4,328.89/6,493.74 = 1,406.41/x
  3. Step 3: Cross multiply
    4,328.89x = 6,493.74 × 1,406.41
  4. Step 4: Simplify right side
    4,328.89x = 9,132,860.87
  5. Step 5: Solve for x
    x = 9,132,860.87/4,328.89
  6. Step 6: Final answer
    x = 2,109.75

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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.