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Finding the Fourth Proportional to 3,478.97, 4,798.32 and 2,416.73

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Solution

The fourth proportional to 3,478.97, 4,798.32 and 2,416.73 is: 3,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.97 : 4,798.32 = 2,416.73 : x
  2. Step 2: Convert to fraction form
    3,478.97/4,798.32 = 2,416.73/x
  3. Step 3: Cross multiply
    3,478.97x = 4,798.32 × 2,416.73
  4. Step 4: Simplify right side
    3,478.97x = 11,596,219.90
  5. Step 5: Solve for x
    x = 11,596,219.90/3,478.97
  6. Step 6: Final answer
    x = 3,333.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.