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Finding the Fourth Proportional to 5,071.50, 6,998.94 and 2,976.30

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Solution

The fourth proportional to 5,071.50, 6,998.94 and 2,976.30 is: 4,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.50 : 6,998.94 = 2,976.30 : x
  2. Step 2: Convert to fraction form
    5,071.50/6,998.94 = 2,976.30/x
  3. Step 3: Cross multiply
    5,071.50x = 6,998.94 × 2,976.30
  4. Step 4: Simplify right side
    5,071.50x = 20,830,945.12
  5. Step 5: Solve for x
    x = 20,830,945.12/5,071.50
  6. Step 6: Final answer
    x = 4,107.45

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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.