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Finding the Fourth Proportional to 4,774.21, 7,156.86 and 3,728.50

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Solution

The fourth proportional to 4,774.21, 7,156.86 and 3,728.50 is: 5,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.21 : 7,156.86 = 3,728.50 : x
  2. Step 2: Convert to fraction form
    4,774.21/7,156.86 = 3,728.50/x
  3. Step 3: Cross multiply
    4,774.21x = 7,156.86 × 3,728.50
  4. Step 4: Simplify right side
    4,774.21x = 26,684,352.51
  5. Step 5: Solve for x
    x = 26,684,352.51/4,774.21
  6. Step 6: Final answer
    x = 5,589.27

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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.