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Finding the Fourth Proportional to 5,632.84, 8,443.40 and 2,120.44

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Solution

The fourth proportional to 5,632.84, 8,443.40 and 2,120.44 is: 3,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.84 : 8,443.40 = 2,120.44 : x
  2. Step 2: Convert to fraction form
    5,632.84/8,443.40 = 2,120.44/x
  3. Step 3: Cross multiply
    5,632.84x = 8,443.40 × 2,120.44
  4. Step 4: Simplify right side
    5,632.84x = 17,903,680.88
  5. Step 5: Solve for x
    x = 17,903,680.88/5,632.84
  6. Step 6: Final answer
    x = 3,178.45

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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.