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Finding the Fourth Proportional to 4,636.97, 6,954.16 and 1,967.65

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Solution

The fourth proportional to 4,636.97, 6,954.16 and 1,967.65 is: 2,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.97 : 6,954.16 = 1,967.65 : x
  2. Step 2: Convert to fraction form
    4,636.97/6,954.16 = 1,967.65/x
  3. Step 3: Cross multiply
    4,636.97x = 6,954.16 × 1,967.65
  4. Step 4: Simplify right side
    4,636.97x = 13,683,330.62
  5. Step 5: Solve for x
    x = 13,683,330.62/4,636.97
  6. Step 6: Final answer
    x = 2,950.92

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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.