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Finding the Fourth Proportional to 5,069.01, 6,994.98 and 2,973

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Solution

The fourth proportional to 5,069.01, 6,994.98 and 2,973 is: 4,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.01 : 6,994.98 = 2,973 : x
  2. Step 2: Convert to fraction form
    5,069.01/6,994.98 = 2,973/x
  3. Step 3: Cross multiply
    5,069.01x = 6,994.98 × 2,973
  4. Step 4: Simplify right side
    5,069.01x = 20,796,075.54
  5. Step 5: Solve for x
    x = 20,796,075.54/5,069.01
  6. Step 6: Final answer
    x = 4,102.59

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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.