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Finding the Fourth Proportional to 4,057, 6,085.52 and 979

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Solution

The fourth proportional to 4,057, 6,085.52 and 979 is: 1,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057 : 6,085.52 = 979 : x
  2. Step 2: Convert to fraction form
    4,057/6,085.52 = 979/x
  3. Step 3: Cross multiply
    4,057x = 6,085.52 × 979
  4. Step 4: Simplify right side
    4,057x = 5,957,724.08
  5. Step 5: Solve for x
    x = 5,957,724.08/4,057
  6. Step 6: Final answer
    x = 1,468.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.