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Finding the Fourth Proportional to 5,215.68, 7,828.07 and 3,021.39

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Solution

The fourth proportional to 5,215.68, 7,828.07 and 3,021.39 is: 4,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.68 : 7,828.07 = 3,021.39 : x
  2. Step 2: Convert to fraction form
    5,215.68/7,828.07 = 3,021.39/x
  3. Step 3: Cross multiply
    5,215.68x = 7,828.07 × 3,021.39
  4. Step 4: Simplify right side
    5,215.68x = 23,651,637.31
  5. Step 5: Solve for x
    x = 23,651,637.31/5,215.68
  6. Step 6: Final answer
    x = 4,534.72

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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.