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Finding the Fourth Proportional to 4,654.67, 6,983.55 and 1,879.84

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Solution

The fourth proportional to 4,654.67, 6,983.55 and 1,879.84 is: 2,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.67 : 6,983.55 = 1,879.84 : x
  2. Step 2: Convert to fraction form
    4,654.67/6,983.55 = 1,879.84/x
  3. Step 3: Cross multiply
    4,654.67x = 6,983.55 × 1,879.84
  4. Step 4: Simplify right side
    4,654.67x = 13,127,965.36
  5. Step 5: Solve for x
    x = 13,127,965.36/4,654.67
  6. Step 6: Final answer
    x = 2,820.39

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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.