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Finding the Fourth Proportional to 3,368.74, 5,053.79 and 1,420.96

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Solution

The fourth proportional to 3,368.74, 5,053.79 and 1,420.96 is: 2,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.74 : 5,053.79 = 1,420.96 : x
  2. Step 2: Convert to fraction form
    3,368.74/5,053.79 = 1,420.96/x
  3. Step 3: Cross multiply
    3,368.74x = 5,053.79 × 1,420.96
  4. Step 4: Simplify right side
    3,368.74x = 7,181,226.33
  5. Step 5: Solve for x
    x = 7,181,226.33/3,368.74
  6. Step 6: Final answer
    x = 2,131.72

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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.