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Finding the Fourth Proportional to 3,599.46, 5,400.60 and 1,407.81

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Solution

The fourth proportional to 3,599.46, 5,400.60 and 1,407.81 is: 2,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.46 : 5,400.60 = 1,407.81 : x
  2. Step 2: Convert to fraction form
    3,599.46/5,400.60 = 1,407.81/x
  3. Step 3: Cross multiply
    3,599.46x = 5,400.60 × 1,407.81
  4. Step 4: Simplify right side
    3,599.46x = 7,603,018.69
  5. Step 5: Solve for x
    x = 7,603,018.69/3,599.46
  6. Step 6: Final answer
    x = 2,112.27

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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.