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Finding the Fourth Proportional to 4,059.75, 6,089.52 and 1,098.48

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Solution

The fourth proportional to 4,059.75, 6,089.52 and 1,098.48 is: 1,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.75 : 6,089.52 = 1,098.48 : x
  2. Step 2: Convert to fraction form
    4,059.75/6,089.52 = 1,098.48/x
  3. Step 3: Cross multiply
    4,059.75x = 6,089.52 × 1,098.48
  4. Step 4: Simplify right side
    4,059.75x = 6,689,215.93
  5. Step 5: Solve for x
    x = 6,689,215.93/4,059.75
  6. Step 6: Final answer
    x = 1,647.69

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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.