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Finding the Fourth Proportional to 4,346.84, 5,988.66 and 3,566

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Solution

The fourth proportional to 4,346.84, 5,988.66 and 3,566 is: 4,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.84 : 5,988.66 = 3,566 : x
  2. Step 2: Convert to fraction form
    4,346.84/5,988.66 = 3,566/x
  3. Step 3: Cross multiply
    4,346.84x = 5,988.66 × 3,566
  4. Step 4: Simplify right side
    4,346.84x = 21,355,561.56
  5. Step 5: Solve for x
    x = 21,355,561.56/4,346.84
  6. Step 6: Final answer
    x = 4,912.89

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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.