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Finding the Fourth Proportional to 3,405.32, 5,109.60 and 1,673

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Solution

The fourth proportional to 3,405.32, 5,109.60 and 1,673 is: 2,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.32 : 5,109.60 = 1,673 : x
  2. Step 2: Convert to fraction form
    3,405.32/5,109.60 = 1,673/x
  3. Step 3: Cross multiply
    3,405.32x = 5,109.60 × 1,673
  4. Step 4: Simplify right side
    3,405.32x = 8,548,360.80
  5. Step 5: Solve for x
    x = 8,548,360.80/3,405.32
  6. Step 6: Final answer
    x = 2,510.30

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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.