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Finding the Fourth Proportional to 4,958.75, 6,842.84 and 2,970.40

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Solution

The fourth proportional to 4,958.75, 6,842.84 and 2,970.40 is: 4,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.75 : 6,842.84 = 2,970.40 : x
  2. Step 2: Convert to fraction form
    4,958.75/6,842.84 = 2,970.40/x
  3. Step 3: Cross multiply
    4,958.75x = 6,842.84 × 2,970.40
  4. Step 4: Simplify right side
    4,958.75x = 20,325,971.94
  5. Step 5: Solve for x
    x = 20,325,971.94/4,958.75
  6. Step 6: Final answer
    x = 4,099.01

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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.