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Finding the Fourth Proportional to 4,164.84, 5,747.65 and 2,396.43

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Solution

The fourth proportional to 4,164.84, 5,747.65 and 2,396.43 is: 3,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.84 : 5,747.65 = 2,396.43 : x
  2. Step 2: Convert to fraction form
    4,164.84/5,747.65 = 2,396.43/x
  3. Step 3: Cross multiply
    4,164.84x = 5,747.65 × 2,396.43
  4. Step 4: Simplify right side
    4,164.84x = 13,773,834.90
  5. Step 5: Solve for x
    x = 13,773,834.90/4,164.84
  6. Step 6: Final answer
    x = 3,307.17

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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.