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Finding the Fourth Proportional to 3,885.50, 5,362.00 and 2,117.14

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Solution

The fourth proportional to 3,885.50, 5,362.00 and 2,117.14 is: 2,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.50 : 5,362.00 = 2,117.14 : x
  2. Step 2: Convert to fraction form
    3,885.50/5,362.00 = 2,117.14/x
  3. Step 3: Cross multiply
    3,885.50x = 5,362.00 × 2,117.14
  4. Step 4: Simplify right side
    3,885.50x = 11,352,085.98
  5. Step 5: Solve for x
    x = 11,352,085.98/3,885.50
  6. Step 6: Final answer
    x = 2,921.65

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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.