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Finding the Fourth Proportional to 5,969.94, 8,955 and 2,074.48

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Solution

The fourth proportional to 5,969.94, 8,955 and 2,074.48 is: 3,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.94 : 8,955 = 2,074.48 : x
  2. Step 2: Convert to fraction form
    5,969.94/8,955 = 2,074.48/x
  3. Step 3: Cross multiply
    5,969.94x = 8,955 × 2,074.48
  4. Step 4: Simplify right side
    5,969.94x = 18,576,968.40
  5. Step 5: Solve for x
    x = 18,576,968.40/5,969.94
  6. Step 6: Final answer
    x = 3,111.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.