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Finding the Fourth Proportional to 4,859.84, 6,706.62 and 2,735.30

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Solution

The fourth proportional to 4,859.84, 6,706.62 and 2,735.30 is: 3,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.84 : 6,706.62 = 2,735.30 : x
  2. Step 2: Convert to fraction form
    4,859.84/6,706.62 = 2,735.30/x
  3. Step 3: Cross multiply
    4,859.84x = 6,706.62 × 2,735.30
  4. Step 4: Simplify right side
    4,859.84x = 18,344,617.69
  5. Step 5: Solve for x
    x = 18,344,617.69/4,859.84
  6. Step 6: Final answer
    x = 3,774.74

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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.