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Finding the Fourth Proportional to 5,420.25, 8,133.63 and 2,342.25

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Solution

The fourth proportional to 5,420.25, 8,133.63 and 2,342.25 is: 3,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.25 : 8,133.63 = 2,342.25 : x
  2. Step 2: Convert to fraction form
    5,420.25/8,133.63 = 2,342.25/x
  3. Step 3: Cross multiply
    5,420.25x = 8,133.63 × 2,342.25
  4. Step 4: Simplify right side
    5,420.25x = 19,050,994.87
  5. Step 5: Solve for x
    x = 19,050,994.87/5,420.25
  6. Step 6: Final answer
    x = 3,514.78

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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.