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Finding the Fourth Proportional to 3,873.40, 5,802.34 and 1,790.58

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Solution

The fourth proportional to 3,873.40, 5,802.34 and 1,790.58 is: 2,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.40 : 5,802.34 = 1,790.58 : x
  2. Step 2: Convert to fraction form
    3,873.40/5,802.34 = 1,790.58/x
  3. Step 3: Cross multiply
    3,873.40x = 5,802.34 × 1,790.58
  4. Step 4: Simplify right side
    3,873.40x = 10,389,553.96
  5. Step 5: Solve for x
    x = 10,389,553.96/3,873.40
  6. Step 6: Final answer
    x = 2,682.28

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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.