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Finding the Fourth Proportional to 4,057.07, 6,085.60 and 979.07

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Solution

The fourth proportional to 4,057.07, 6,085.60 and 979.07 is: 1,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.07 : 6,085.60 = 979.07 : x
  2. Step 2: Convert to fraction form
    4,057.07/6,085.60 = 979.07/x
  3. Step 3: Cross multiply
    4,057.07x = 6,085.60 × 979.07
  4. Step 4: Simplify right side
    4,057.07x = 5,958,195.52
  5. Step 5: Solve for x
    x = 5,958,195.52/4,057.07
  6. Step 6: Final answer
    x = 1,468.60

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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.