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Finding the Fourth Proportional to 5,346.84, 7,380.69 and 3,577.80

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Solution

The fourth proportional to 5,346.84, 7,380.69 and 3,577.80 is: 4,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.84 : 7,380.69 = 3,577.80 : x
  2. Step 2: Convert to fraction form
    5,346.84/7,380.69 = 3,577.80/x
  3. Step 3: Cross multiply
    5,346.84x = 7,380.69 × 3,577.80
  4. Step 4: Simplify right side
    5,346.84x = 26,406,632.68
  5. Step 5: Solve for x
    x = 26,406,632.68/5,346.84
  6. Step 6: Final answer
    x = 4,938.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.