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Finding the Fourth Proportional to 3,528.50, 5,289.50 and 1,218.38

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Solution

The fourth proportional to 3,528.50, 5,289.50 and 1,218.38 is: 1,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.50 : 5,289.50 = 1,218.38 : x
  2. Step 2: Convert to fraction form
    3,528.50/5,289.50 = 1,218.38/x
  3. Step 3: Cross multiply
    3,528.50x = 5,289.50 × 1,218.38
  4. Step 4: Simplify right side
    3,528.50x = 6,444,597.61
  5. Step 5: Solve for x
    x = 6,444,597.61/3,528.50
  6. Step 6: Final answer
    x = 1,826.44

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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.