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Finding the Fourth Proportional to 3,405.68, 5,131.70 and 2,802.90

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Solution

The fourth proportional to 3,405.68, 5,131.70 and 2,802.90 is: 4,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.68 : 5,131.70 = 2,802.90 : x
  2. Step 2: Convert to fraction form
    3,405.68/5,131.70 = 2,802.90/x
  3. Step 3: Cross multiply
    3,405.68x = 5,131.70 × 2,802.90
  4. Step 4: Simplify right side
    3,405.68x = 14,383,627.92
  5. Step 5: Solve for x
    x = 14,383,627.92/3,405.68
  6. Step 6: Final answer
    x = 4,223.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.