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Finding the Fourth Proportional to 5,012.40, 6,916.80 and 2,774.14

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Solution

The fourth proportional to 5,012.40, 6,916.80 and 2,774.14 is: 3,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.40 : 6,916.80 = 2,774.14 : x
  2. Step 2: Convert to fraction form
    5,012.40/6,916.80 = 2,774.14/x
  3. Step 3: Cross multiply
    5,012.40x = 6,916.80 × 2,774.14
  4. Step 4: Simplify right side
    5,012.40x = 19,188,171.55
  5. Step 5: Solve for x
    x = 19,188,171.55/5,012.40
  6. Step 6: Final answer
    x = 3,828.14

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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.