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Finding the Fourth Proportional to 4,153.94, 6,225.40 and 2,396.17

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Solution

The fourth proportional to 4,153.94, 6,225.40 and 2,396.17 is: 3,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.94 : 6,225.40 = 2,396.17 : x
  2. Step 2: Convert to fraction form
    4,153.94/6,225.40 = 2,396.17/x
  3. Step 3: Cross multiply
    4,153.94x = 6,225.40 × 2,396.17
  4. Step 4: Simplify right side
    4,153.94x = 14,917,116.72
  5. Step 5: Solve for x
    x = 14,917,116.72/4,153.94
  6. Step 6: Final answer
    x = 3,591.08

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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.