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Finding the Fourth Proportional to 4,745.08, 7,115.78 and 1,970.33

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Solution

The fourth proportional to 4,745.08, 7,115.78 and 1,970.33 is: 2,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.08 : 7,115.78 = 1,970.33 : x
  2. Step 2: Convert to fraction form
    4,745.08/7,115.78 = 1,970.33/x
  3. Step 3: Cross multiply
    4,745.08x = 7,115.78 × 1,970.33
  4. Step 4: Simplify right side
    4,745.08x = 14,020,404.15
  5. Step 5: Solve for x
    x = 14,020,404.15/4,745.08
  6. Step 6: Final answer
    x = 2,954.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.