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Finding the Fourth Proportional to 3,802.95, 5,705.24 and 1,612.71

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Solution

The fourth proportional to 3,802.95, 5,705.24 and 1,612.71 is: 2,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.95 : 5,705.24 = 1,612.71 : x
  2. Step 2: Convert to fraction form
    3,802.95/5,705.24 = 1,612.71/x
  3. Step 3: Cross multiply
    3,802.95x = 5,705.24 × 1,612.71
  4. Step 4: Simplify right side
    3,802.95x = 9,200,889.54
  5. Step 5: Solve for x
    x = 9,200,889.54/3,802.95
  6. Step 6: Final answer
    x = 2,419.41

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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.