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Finding the Fourth Proportional to 5,012, 6,916.56 and 2,804

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Solution

The fourth proportional to 5,012, 6,916.56 and 2,804 is: 3,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012 : 6,916.56 = 2,804 : x
  2. Step 2: Convert to fraction form
    5,012/6,916.56 = 2,804/x
  3. Step 3: Cross multiply
    5,012x = 6,916.56 × 2,804
  4. Step 4: Simplify right side
    5,012x = 19,394,034.24
  5. Step 5: Solve for x
    x = 19,394,034.24/5,012
  6. Step 6: Final answer
    x = 3,869.52

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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.