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Finding the Fourth Proportional to 3,664.36, 5,494.31 and 1,440.53

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Solution

The fourth proportional to 3,664.36, 5,494.31 and 1,440.53 is: 2,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.36 : 5,494.31 = 1,440.53 : x
  2. Step 2: Convert to fraction form
    3,664.36/5,494.31 = 1,440.53/x
  3. Step 3: Cross multiply
    3,664.36x = 5,494.31 × 1,440.53
  4. Step 4: Simplify right side
    3,664.36x = 7,914,683.71
  5. Step 5: Solve for x
    x = 7,914,683.71/3,664.36
  6. Step 6: Final answer
    x = 2,159.91

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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.