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Finding the Fourth Proportional to 5,768.04, 8,655.56 and 2,305

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Solution

The fourth proportional to 5,768.04, 8,655.56 and 2,305 is: 3,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.04 : 8,655.56 = 2,305 : x
  2. Step 2: Convert to fraction form
    5,768.04/8,655.56 = 2,305/x
  3. Step 3: Cross multiply
    5,768.04x = 8,655.56 × 2,305
  4. Step 4: Simplify right side
    5,768.04x = 19,951,065.80
  5. Step 5: Solve for x
    x = 19,951,065.80/5,768.04
  6. Step 6: Final answer
    x = 3,458.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.