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Finding the Fourth Proportional to 3,645.64, 5,028.32 and 2,384.67

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Solution

The fourth proportional to 3,645.64, 5,028.32 and 2,384.67 is: 3,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.64 : 5,028.32 = 2,384.67 : x
  2. Step 2: Convert to fraction form
    3,645.64/5,028.32 = 2,384.67/x
  3. Step 3: Cross multiply
    3,645.64x = 5,028.32 × 2,384.67
  4. Step 4: Simplify right side
    3,645.64x = 11,990,871.93
  5. Step 5: Solve for x
    x = 11,990,871.93/3,645.64
  6. Step 6: Final answer
    x = 3,289.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.