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Finding the Fourth Proportional to 5,783.96, 8,678.56 and 2,273

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Solution

The fourth proportional to 5,783.96, 8,678.56 and 2,273 is: 3,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.96 : 8,678.56 = 2,273 : x
  2. Step 2: Convert to fraction form
    5,783.96/8,678.56 = 2,273/x
  3. Step 3: Cross multiply
    5,783.96x = 8,678.56 × 2,273
  4. Step 4: Simplify right side
    5,783.96x = 19,726,366.88
  5. Step 5: Solve for x
    x = 19,726,366.88/5,783.96
  6. Step 6: Final answer
    x = 3,410.53

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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.