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Finding the Fourth Proportional to 4,096.90, 5,647.99 and 3,464.89

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Solution

The fourth proportional to 4,096.90, 5,647.99 and 3,464.89 is: 4,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.90 : 5,647.99 = 3,464.89 : x
  2. Step 2: Convert to fraction form
    4,096.90/5,647.99 = 3,464.89/x
  3. Step 3: Cross multiply
    4,096.90x = 5,647.99 × 3,464.89
  4. Step 4: Simplify right side
    4,096.90x = 19,569,664.07
  5. Step 5: Solve for x
    x = 19,569,664.07/4,096.90
  6. Step 6: Final answer
    x = 4,776.70

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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.