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Finding the Fourth Proportional to 3,325.14, 4,986.50 and 1,133.28

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Solution

The fourth proportional to 3,325.14, 4,986.50 and 1,133.28 is: 1,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.14 : 4,986.50 = 1,133.28 : x
  2. Step 2: Convert to fraction form
    3,325.14/4,986.50 = 1,133.28/x
  3. Step 3: Cross multiply
    3,325.14x = 4,986.50 × 1,133.28
  4. Step 4: Simplify right side
    3,325.14x = 5,651,095.05
  5. Step 5: Solve for x
    x = 5,651,095.05/3,325.14
  6. Step 6: Final answer
    x = 1,699.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.