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Finding the Fourth Proportional to 5,774.61, 7,969.01 and 3,122.07

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Solution

The fourth proportional to 5,774.61, 7,969.01 and 3,122.07 is: 4,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.61 : 7,969.01 = 3,122.07 : x
  2. Step 2: Convert to fraction form
    5,774.61/7,969.01 = 3,122.07/x
  3. Step 3: Cross multiply
    5,774.61x = 7,969.01 × 3,122.07
  4. Step 4: Simplify right side
    5,774.61x = 24,879,807.05
  5. Step 5: Solve for x
    x = 24,879,807.05/5,774.61
  6. Step 6: Final answer
    x = 4,308.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.