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Finding the Fourth Proportional to 3,881.25, 5,820.48 and 1,415.52

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Solution

The fourth proportional to 3,881.25, 5,820.48 and 1,415.52 is: 2,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.25 : 5,820.48 = 1,415.52 : x
  2. Step 2: Convert to fraction form
    3,881.25/5,820.48 = 1,415.52/x
  3. Step 3: Cross multiply
    3,881.25x = 5,820.48 × 1,415.52
  4. Step 4: Simplify right side
    3,881.25x = 8,239,005.85
  5. Step 5: Solve for x
    x = 8,239,005.85/3,881.25
  6. Step 6: Final answer
    x = 2,122.77

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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.