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Finding the Fourth Proportional to 5,471.84, 8,207.06 and 1,523.39

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Solution

The fourth proportional to 5,471.84, 8,207.06 and 1,523.39 is: 2,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.84 : 8,207.06 = 1,523.39 : x
  2. Step 2: Convert to fraction form
    5,471.84/8,207.06 = 1,523.39/x
  3. Step 3: Cross multiply
    5,471.84x = 8,207.06 × 1,523.39
  4. Step 4: Simplify right side
    5,471.84x = 12,502,559.21
  5. Step 5: Solve for x
    x = 12,502,559.21/5,471.84
  6. Step 6: Final answer
    x = 2,284.89

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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.