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Finding the Fourth Proportional to 4,916, 6,784.40 and 2,708

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Solution

The fourth proportional to 4,916, 6,784.40 and 2,708 is: 3,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916 : 6,784.40 = 2,708 : x
  2. Step 2: Convert to fraction form
    4,916/6,784.40 = 2,708/x
  3. Step 3: Cross multiply
    4,916x = 6,784.40 × 2,708
  4. Step 4: Simplify right side
    4,916x = 18,372,155.20
  5. Step 5: Solve for x
    x = 18,372,155.20/4,916
  6. Step 6: Final answer
    x = 3,737.22

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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.