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Finding the Fourth Proportional to 3,365.70, 5,046.57 and 1,416.84

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Solution

The fourth proportional to 3,365.70, 5,046.57 and 1,416.84 is: 2,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.70 : 5,046.57 = 1,416.84 : x
  2. Step 2: Convert to fraction form
    3,365.70/5,046.57 = 1,416.84/x
  3. Step 3: Cross multiply
    3,365.70x = 5,046.57 × 1,416.84
  4. Step 4: Simplify right side
    3,365.70x = 7,150,182.24
  5. Step 5: Solve for x
    x = 7,150,182.24/3,365.70
  6. Step 6: Final answer
    x = 2,124.43

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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.