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Finding the Fourth Proportional to 4,970.25, 6,858.70 and 2,980.42

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Solution

The fourth proportional to 4,970.25, 6,858.70 and 2,980.42 is: 4,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.25 : 6,858.70 = 2,980.42 : x
  2. Step 2: Convert to fraction form
    4,970.25/6,858.70 = 2,980.42/x
  3. Step 3: Cross multiply
    4,970.25x = 6,858.70 × 2,980.42
  4. Step 4: Simplify right side
    4,970.25x = 20,441,782.06
  5. Step 5: Solve for x
    x = 20,441,782.06/4,970.25
  6. Step 6: Final answer
    x = 4,112.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.