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Finding the Fourth Proportional to 5,777.07, 8,666.67 and 1,829.32

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Solution

The fourth proportional to 5,777.07, 8,666.67 and 1,829.32 is: 2,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.07 : 8,666.67 = 1,829.32 : x
  2. Step 2: Convert to fraction form
    5,777.07/8,666.67 = 1,829.32/x
  3. Step 3: Cross multiply
    5,777.07x = 8,666.67 × 1,829.32
  4. Step 4: Simplify right side
    5,777.07x = 15,854,112.76
  5. Step 5: Solve for x
    x = 15,854,112.76/5,777.07
  6. Step 6: Final answer
    x = 2,744.32

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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.