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Finding the Fourth Proportional to 5,771.68, 7,961.52 and 3,674.08

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Solution

The fourth proportional to 5,771.68, 7,961.52 and 3,674.08 is: 5,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.68 : 7,961.52 = 3,674.08 : x
  2. Step 2: Convert to fraction form
    5,771.68/7,961.52 = 3,674.08/x
  3. Step 3: Cross multiply
    5,771.68x = 7,961.52 × 3,674.08
  4. Step 4: Simplify right side
    5,771.68x = 29,251,261.40
  5. Step 5: Solve for x
    x = 29,251,261.40/5,771.68
  6. Step 6: Final answer
    x = 5,068.07

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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.