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Finding the Fourth Proportional to 3,396.72, 4,686.72 and 2,154

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Solution

The fourth proportional to 3,396.72, 4,686.72 and 2,154 is: 2,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.72 : 4,686.72 = 2,154 : x
  2. Step 2: Convert to fraction form
    3,396.72/4,686.72 = 2,154/x
  3. Step 3: Cross multiply
    3,396.72x = 4,686.72 × 2,154
  4. Step 4: Simplify right side
    3,396.72x = 10,095,194.88
  5. Step 5: Solve for x
    x = 10,095,194.88/3,396.72
  6. Step 6: Final answer
    x = 2,972.04

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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.