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Finding the Fourth Proportional to 5,325.84, 7,988.22 and 1,628.10

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Solution

The fourth proportional to 5,325.84, 7,988.22 and 1,628.10 is: 2,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.84 : 7,988.22 = 1,628.10 : x
  2. Step 2: Convert to fraction form
    5,325.84/7,988.22 = 1,628.10/x
  3. Step 3: Cross multiply
    5,325.84x = 7,988.22 × 1,628.10
  4. Step 4: Simplify right side
    5,325.84x = 13,005,620.98
  5. Step 5: Solve for x
    x = 13,005,620.98/5,325.84
  6. Step 6: Final answer
    x = 2,441.98

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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.