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Finding the Fourth Proportional to 5,408.74, 8,113.05 and 1,710.97

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Solution

The fourth proportional to 5,408.74, 8,113.05 and 1,710.97 is: 2,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.74 : 8,113.05 = 1,710.97 : x
  2. Step 2: Convert to fraction form
    5,408.74/8,113.05 = 1,710.97/x
  3. Step 3: Cross multiply
    5,408.74x = 8,113.05 × 1,710.97
  4. Step 4: Simplify right side
    5,408.74x = 13,881,164.88
  5. Step 5: Solve for x
    x = 13,881,164.88/5,408.74
  6. Step 6: Final answer
    x = 2,566.43

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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.