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Finding the Fourth Proportional to 4,725.81, 7,083.50 and 1,950.95

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Solution

The fourth proportional to 4,725.81, 7,083.50 and 1,950.95 is: 2,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.81 : 7,083.50 = 1,950.95 : x
  2. Step 2: Convert to fraction form
    4,725.81/7,083.50 = 1,950.95/x
  3. Step 3: Cross multiply
    4,725.81x = 7,083.50 × 1,950.95
  4. Step 4: Simplify right side
    4,725.81x = 13,819,562.28
  5. Step 5: Solve for x
    x = 13,819,562.28/4,725.81
  6. Step 6: Final answer
    x = 2,924.27

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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.