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Finding the Fourth Proportional to 5,671.67, 8,507.50 and 1,776.38

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Solution

The fourth proportional to 5,671.67, 8,507.50 and 1,776.38 is: 2,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.67 : 8,507.50 = 1,776.38 : x
  2. Step 2: Convert to fraction form
    5,671.67/8,507.50 = 1,776.38/x
  3. Step 3: Cross multiply
    5,671.67x = 8,507.50 × 1,776.38
  4. Step 4: Simplify right side
    5,671.67x = 15,112,505.87
  5. Step 5: Solve for x
    x = 15,112,505.87/5,671.67
  6. Step 6: Final answer
    x = 2,664.56

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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.