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Finding the Fourth Proportional to 5,050, 6,969.96 and 2,842

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Solution

The fourth proportional to 5,050, 6,969.96 and 2,842 is: 3,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050 : 6,969.96 = 2,842 : x
  2. Step 2: Convert to fraction form
    5,050/6,969.96 = 2,842/x
  3. Step 3: Cross multiply
    5,050x = 6,969.96 × 2,842
  4. Step 4: Simplify right side
    5,050x = 19,808,626.32
  5. Step 5: Solve for x
    x = 19,808,626.32/5,050
  6. Step 6: Final answer
    x = 3,922.50

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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.