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Finding the Fourth Proportional to 5,774.20, 7,968.41 and 3,653.52

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Solution

The fourth proportional to 5,774.20, 7,968.41 and 3,653.52 is: 5,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.20 : 7,968.41 = 3,653.52 : x
  2. Step 2: Convert to fraction form
    5,774.20/7,968.41 = 3,653.52/x
  3. Step 3: Cross multiply
    5,774.20x = 7,968.41 × 3,653.52
  4. Step 4: Simplify right side
    5,774.20x = 29,112,745.30
  5. Step 5: Solve for x
    x = 29,112,745.30/5,774.20
  6. Step 6: Final answer
    x = 5,041.87

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1.5x scale

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.