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Finding the Fourth Proportional to 6,059.34, 9,089.49 and 1,676.76

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Solution

The fourth proportional to 6,059.34, 9,089.49 and 1,676.76 is: 2,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.34 : 9,089.49 = 1,676.76 : x
  2. Step 2: Convert to fraction form
    6,059.34/9,089.49 = 1,676.76/x
  3. Step 3: Cross multiply
    6,059.34x = 9,089.49 × 1,676.76
  4. Step 4: Simplify right side
    6,059.34x = 15,240,893.25
  5. Step 5: Solve for x
    x = 15,240,893.25/6,059.34
  6. Step 6: Final answer
    x = 2,515.27

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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.