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Finding the Fourth Proportional to 4,894.54, 7,341.75 and 2,295.64

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Solution

The fourth proportional to 4,894.54, 7,341.75 and 2,295.64 is: 3,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.54 : 7,341.75 = 2,295.64 : x
  2. Step 2: Convert to fraction form
    4,894.54/7,341.75 = 2,295.64/x
  3. Step 3: Cross multiply
    4,894.54x = 7,341.75 × 2,295.64
  4. Step 4: Simplify right side
    4,894.54x = 16,854,014.97
  5. Step 5: Solve for x
    x = 16,854,014.97/4,894.54
  6. Step 6: Final answer
    x = 3,443.43

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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.