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Finding the Fourth Proportional to 4,964.22, 7,444.26 and 2,113.50

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Solution

The fourth proportional to 4,964.22, 7,444.26 and 2,113.50 is: 3,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.22 : 7,444.26 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    4,964.22/7,444.26 = 2,113.50/x
  3. Step 3: Cross multiply
    4,964.22x = 7,444.26 × 2,113.50
  4. Step 4: Simplify right side
    4,964.22x = 15,733,443.51
  5. Step 5: Solve for x
    x = 15,733,443.51/4,964.22
  6. Step 6: Final answer
    x = 3,169.37

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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.