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Finding the Fourth Proportional to 5,123.84, 7,071.23 and 2,885.50

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Solution

The fourth proportional to 5,123.84, 7,071.23 and 2,885.50 is: 3,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.84 : 7,071.23 = 2,885.50 : x
  2. Step 2: Convert to fraction form
    5,123.84/7,071.23 = 2,885.50/x
  3. Step 3: Cross multiply
    5,123.84x = 7,071.23 × 2,885.50
  4. Step 4: Simplify right side
    5,123.84x = 20,404,002.06
  5. Step 5: Solve for x
    x = 20,404,002.06/5,123.84
  6. Step 6: Final answer
    x = 3,982.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.