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Finding the Fourth Proportional to 4,745.78, 7,118.96 and 1,458.92

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Solution

The fourth proportional to 4,745.78, 7,118.96 and 1,458.92 is: 2,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.78 : 7,118.96 = 1,458.92 : x
  2. Step 2: Convert to fraction form
    4,745.78/7,118.96 = 1,458.92/x
  3. Step 3: Cross multiply
    4,745.78x = 7,118.96 × 1,458.92
  4. Step 4: Simplify right side
    4,745.78x = 10,385,993.12
  5. Step 5: Solve for x
    x = 10,385,993.12/4,745.78
  6. Step 6: Final answer
    x = 2,188.47

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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.