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Finding the Fourth Proportional to 5,708.94, 8,524.82 and 4,670.97

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Solution

The fourth proportional to 5,708.94, 8,524.82 and 4,670.97 is: 6,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.94 : 8,524.82 = 4,670.97 : x
  2. Step 2: Convert to fraction form
    5,708.94/8,524.82 = 4,670.97/x
  3. Step 3: Cross multiply
    5,708.94x = 8,524.82 × 4,670.97
  4. Step 4: Simplify right side
    5,708.94x = 39,819,178.48
  5. Step 5: Solve for x
    x = 39,819,178.48/5,708.94
  6. Step 6: Final answer
    x = 6,974.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.