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Finding the Fourth Proportional to 3,809.68, 5,712.93 and 1,343.39

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Solution

The fourth proportional to 3,809.68, 5,712.93 and 1,343.39 is: 2,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.68 : 5,712.93 = 1,343.39 : x
  2. Step 2: Convert to fraction form
    3,809.68/5,712.93 = 1,343.39/x
  3. Step 3: Cross multiply
    3,809.68x = 5,712.93 × 1,343.39
  4. Step 4: Simplify right side
    3,809.68x = 7,674,664.47
  5. Step 5: Solve for x
    x = 7,674,664.47/3,809.68
  6. Step 6: Final answer
    x = 2,014.52

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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.