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Finding the Fourth Proportional to 3,403.94, 5,106.38 and 1,064.12

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Solution

The fourth proportional to 3,403.94, 5,106.38 and 1,064.12 is: 1,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.94 : 5,106.38 = 1,064.12 : x
  2. Step 2: Convert to fraction form
    3,403.94/5,106.38 = 1,064.12/x
  3. Step 3: Cross multiply
    3,403.94x = 5,106.38 × 1,064.12
  4. Step 4: Simplify right side
    3,403.94x = 5,433,770.23
  5. Step 5: Solve for x
    x = 5,433,770.23/3,403.94
  6. Step 6: Final answer
    x = 1,596.32

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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.