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Finding the Fourth Proportional to 5,365.67, 8,047.82 and 2,076.51

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Solution

The fourth proportional to 5,365.67, 8,047.82 and 2,076.51 is: 3,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.67 : 8,047.82 = 2,076.51 : x
  2. Step 2: Convert to fraction form
    5,365.67/8,047.82 = 2,076.51/x
  3. Step 3: Cross multiply
    5,365.67x = 8,047.82 × 2,076.51
  4. Step 4: Simplify right side
    5,365.67x = 16,711,373.52
  5. Step 5: Solve for x
    x = 16,711,373.52/5,365.67
  6. Step 6: Final answer
    x = 3,114.50

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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.