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Finding the Fourth Proportional to 4,352.80, 6,007.44 and 2,956

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Solution

The fourth proportional to 4,352.80, 6,007.44 and 2,956 is: 4,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.80 : 6,007.44 = 2,956 : x
  2. Step 2: Convert to fraction form
    4,352.80/6,007.44 = 2,956/x
  3. Step 3: Cross multiply
    4,352.80x = 6,007.44 × 2,956
  4. Step 4: Simplify right side
    4,352.80x = 17,757,992.64
  5. Step 5: Solve for x
    x = 17,757,992.64/4,352.80
  6. Step 6: Final answer
    x = 4,079.67

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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.