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Finding the Fourth Proportional to 4,652.16, 6,977.16 and 2,706

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Solution

The fourth proportional to 4,652.16, 6,977.16 and 2,706 is: 4,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.16 : 6,977.16 = 2,706 : x
  2. Step 2: Convert to fraction form
    4,652.16/6,977.16 = 2,706/x
  3. Step 3: Cross multiply
    4,652.16x = 6,977.16 × 2,706
  4. Step 4: Simplify right side
    4,652.16x = 18,880,194.96
  5. Step 5: Solve for x
    x = 18,880,194.96/4,652.16
  6. Step 6: Final answer
    x = 4,058.37

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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.