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Finding the Fourth Proportional to 5,064.75, 6,989.54 and 2,969.01

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Solution

The fourth proportional to 5,064.75, 6,989.54 and 2,969.01 is: 4,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.75 : 6,989.54 = 2,969.01 : x
  2. Step 2: Convert to fraction form
    5,064.75/6,989.54 = 2,969.01/x
  3. Step 3: Cross multiply
    5,064.75x = 6,989.54 × 2,969.01
  4. Step 4: Simplify right side
    5,064.75x = 20,751,999.31
  5. Step 5: Solve for x
    x = 20,751,999.31/5,064.75
  6. Step 6: Final answer
    x = 4,097.34

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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.