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Finding the Fourth Proportional to 4,070.74, 6,102.22 and 1,295.89

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Solution

The fourth proportional to 4,070.74, 6,102.22 and 1,295.89 is: 1,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.74 : 6,102.22 = 1,295.89 : x
  2. Step 2: Convert to fraction form
    4,070.74/6,102.22 = 1,295.89/x
  3. Step 3: Cross multiply
    4,070.74x = 6,102.22 × 1,295.89
  4. Step 4: Simplify right side
    4,070.74x = 7,907,805.88
  5. Step 5: Solve for x
    x = 7,907,805.88/4,070.74
  6. Step 6: Final answer
    x = 1,942.60

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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.