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Finding the Fourth Proportional to 4,396.77, 6,596.37 and 3,913.20

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Solution

The fourth proportional to 4,396.77, 6,596.37 and 3,913.20 is: 5,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.77 : 6,596.37 = 3,913.20 : x
  2. Step 2: Convert to fraction form
    4,396.77/6,596.37 = 3,913.20/x
  3. Step 3: Cross multiply
    4,396.77x = 6,596.37 × 3,913.20
  4. Step 4: Simplify right side
    4,396.77x = 25,812,915.08
  5. Step 5: Solve for x
    x = 25,812,915.08/4,396.77
  6. Step 6: Final answer
    x = 5,870.88

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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.