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Finding the Fourth Proportional to 4,376.40, 6,036.40 and 3,049.60

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Solution

The fourth proportional to 4,376.40, 6,036.40 and 3,049.60 is: 4,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.40 : 6,036.40 = 3,049.60 : x
  2. Step 2: Convert to fraction form
    4,376.40/6,036.40 = 3,049.60/x
  3. Step 3: Cross multiply
    4,376.40x = 6,036.40 × 3,049.60
  4. Step 4: Simplify right side
    4,376.40x = 18,408,605.44
  5. Step 5: Solve for x
    x = 18,408,605.44/4,376.40
  6. Step 6: Final answer
    x = 4,206.34

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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.