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Finding the Fourth Proportional to 4,191.38, 5,784.90 and 2,775.08

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Solution

The fourth proportional to 4,191.38, 5,784.90 and 2,775.08 is: 3,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.38 : 5,784.90 = 2,775.08 : x
  2. Step 2: Convert to fraction form
    4,191.38/5,784.90 = 2,775.08/x
  3. Step 3: Cross multiply
    4,191.38x = 5,784.90 × 2,775.08
  4. Step 4: Simplify right side
    4,191.38x = 16,053,560.29
  5. Step 5: Solve for x
    x = 16,053,560.29/4,191.38
  6. Step 6: Final answer
    x = 3,830.14

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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.