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Finding the Fourth Proportional to 5,342.25, 8,014.65 and 2,419.77

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Solution

The fourth proportional to 5,342.25, 8,014.65 and 2,419.77 is: 3,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.25 : 8,014.65 = 2,419.77 : x
  2. Step 2: Convert to fraction form
    5,342.25/8,014.65 = 2,419.77/x
  3. Step 3: Cross multiply
    5,342.25x = 8,014.65 × 2,419.77
  4. Step 4: Simplify right side
    5,342.25x = 19,393,609.63
  5. Step 5: Solve for x
    x = 19,393,609.63/5,342.25
  6. Step 6: Final answer
    x = 3,630.23

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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.