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Finding the Fourth Proportional to 4,070.66, 6,105.56 and 2,762.82

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Solution

The fourth proportional to 4,070.66, 6,105.56 and 2,762.82 is: 4,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.66 : 6,105.56 = 2,762.82 : x
  2. Step 2: Convert to fraction form
    4,070.66/6,105.56 = 2,762.82/x
  3. Step 3: Cross multiply
    4,070.66x = 6,105.56 × 2,762.82
  4. Step 4: Simplify right side
    4,070.66x = 16,868,563.28
  5. Step 5: Solve for x
    x = 16,868,563.28/4,070.66
  6. Step 6: Final answer
    x = 4,143.94

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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.