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Finding the Fourth Proportional to 5,214.17, 7,825.82 and 3,019.88

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Solution

The fourth proportional to 5,214.17, 7,825.82 and 3,019.88 is: 4,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.17 : 7,825.82 = 3,019.88 : x
  2. Step 2: Convert to fraction form
    5,214.17/7,825.82 = 3,019.88/x
  3. Step 3: Cross multiply
    5,214.17x = 7,825.82 × 3,019.88
  4. Step 4: Simplify right side
    5,214.17x = 23,633,041.77
  5. Step 5: Solve for x
    x = 23,633,041.77/5,214.17
  6. Step 6: Final answer
    x = 4,532.46

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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.