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Finding the Fourth Proportional to 4,636.62, 6,954.94 and 1,349.79

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Solution

The fourth proportional to 4,636.62, 6,954.94 and 1,349.79 is: 2,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.62 : 6,954.94 = 1,349.79 : x
  2. Step 2: Convert to fraction form
    4,636.62/6,954.94 = 1,349.79/x
  3. Step 3: Cross multiply
    4,636.62x = 6,954.94 × 1,349.79
  4. Step 4: Simplify right side
    4,636.62x = 9,387,699.83
  5. Step 5: Solve for x
    x = 9,387,699.83/4,636.62
  6. Step 6: Final answer
    x = 2,024.69

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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.