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Finding the Fourth Proportional to 3,367.68, 5,051.60 and 1,146.51

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Solution

The fourth proportional to 3,367.68, 5,051.60 and 1,146.51 is: 1,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.68 : 5,051.60 = 1,146.51 : x
  2. Step 2: Convert to fraction form
    3,367.68/5,051.60 = 1,146.51/x
  3. Step 3: Cross multiply
    3,367.68x = 5,051.60 × 1,146.51
  4. Step 4: Simplify right side
    3,367.68x = 5,791,684.66
  5. Step 5: Solve for x
    x = 5,791,684.66/3,367.68
  6. Step 6: Final answer
    x = 1,719.78

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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.