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Finding the Fourth Proportional to 3,403.84, 5,106.57 and 1,323.90

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Solution

The fourth proportional to 3,403.84, 5,106.57 and 1,323.90 is: 1,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.84 : 5,106.57 = 1,323.90 : x
  2. Step 2: Convert to fraction form
    3,403.84/5,106.57 = 1,323.90/x
  3. Step 3: Cross multiply
    3,403.84x = 5,106.57 × 1,323.90
  4. Step 4: Simplify right side
    3,403.84x = 6,760,562.49
  5. Step 5: Solve for x
    x = 6,760,562.49/3,403.84
  6. Step 6: Final answer
    x = 1,986.16

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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.