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Finding the Fourth Proportional to 6,023.49, 9,030.60 and 3,059.50

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Solution

The fourth proportional to 6,023.49, 9,030.60 and 3,059.50 is: 4,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.49 : 9,030.60 = 3,059.50 : x
  2. Step 2: Convert to fraction form
    6,023.49/9,030.60 = 3,059.50/x
  3. Step 3: Cross multiply
    6,023.49x = 9,030.60 × 3,059.50
  4. Step 4: Simplify right side
    6,023.49x = 27,629,093.96
  5. Step 5: Solve for x
    x = 27,629,093.96/6,023.49
  6. Step 6: Final answer
    x = 4,586.89

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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.