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Finding the Fourth Proportional to 4,970.50, 7,450.86 and 2,051.26

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Solution

The fourth proportional to 4,970.50, 7,450.86 and 2,051.26 is: 3,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.50 : 7,450.86 = 2,051.26 : x
  2. Step 2: Convert to fraction form
    4,970.50/7,450.86 = 2,051.26/x
  3. Step 3: Cross multiply
    4,970.50x = 7,450.86 × 2,051.26
  4. Step 4: Simplify right side
    4,970.50x = 15,283,651.08
  5. Step 5: Solve for x
    x = 15,283,651.08/4,970.50
  6. Step 6: Final answer
    x = 3,074.87

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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.