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Finding the Fourth Proportional to 4,236.84, 6,346.62 and 1,770.66

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Solution

The fourth proportional to 4,236.84, 6,346.62 and 1,770.66 is: 2,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.84 : 6,346.62 = 1,770.66 : x
  2. Step 2: Convert to fraction form
    4,236.84/6,346.62 = 1,770.66/x
  3. Step 3: Cross multiply
    4,236.84x = 6,346.62 × 1,770.66
  4. Step 4: Simplify right side
    4,236.84x = 11,237,706.17
  5. Step 5: Solve for x
    x = 11,237,706.17/4,236.84
  6. Step 6: Final answer
    x = 2,652.38

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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.