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Finding the Fourth Proportional to 4,618.49, 6,916.14 and 2,856.25

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Solution

The fourth proportional to 4,618.49, 6,916.14 and 2,856.25 is: 4,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.49 : 6,916.14 = 2,856.25 : x
  2. Step 2: Convert to fraction form
    4,618.49/6,916.14 = 2,856.25/x
  3. Step 3: Cross multiply
    4,618.49x = 6,916.14 × 2,856.25
  4. Step 4: Simplify right side
    4,618.49x = 19,754,224.88
  5. Step 5: Solve for x
    x = 19,754,224.88/4,618.49
  6. Step 6: Final answer
    x = 4,277.20

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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.