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Finding the Fourth Proportional to 5,097.72, 7,648.92 and 3,021.84

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Solution

The fourth proportional to 5,097.72, 7,648.92 and 3,021.84 is: 4,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.72 : 7,648.92 = 3,021.84 : x
  2. Step 2: Convert to fraction form
    5,097.72/7,648.92 = 3,021.84/x
  3. Step 3: Cross multiply
    5,097.72x = 7,648.92 × 3,021.84
  4. Step 4: Simplify right side
    5,097.72x = 23,113,812.41
  5. Step 5: Solve for x
    x = 23,113,812.41/5,097.72
  6. Step 6: Final answer
    x = 4,534.15

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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.