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Finding the Fourth Proportional to 4,589.90, 6,328.52 and 3,880.50

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Solution

The fourth proportional to 4,589.90, 6,328.52 and 3,880.50 is: 5,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.90 : 6,328.52 = 3,880.50 : x
  2. Step 2: Convert to fraction form
    4,589.90/6,328.52 = 3,880.50/x
  3. Step 3: Cross multiply
    4,589.90x = 6,328.52 × 3,880.50
  4. Step 4: Simplify right side
    4,589.90x = 24,557,793.28
  5. Step 5: Solve for x
    x = 24,557,793.28/4,589.90
  6. Step 6: Final answer
    x = 5,350.40

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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.