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Finding the Fourth Proportional to 5,666.98, 7,820.19 and 3,149.26

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Solution

The fourth proportional to 5,666.98, 7,820.19 and 3,149.26 is: 4,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.98 : 7,820.19 = 3,149.26 : x
  2. Step 2: Convert to fraction form
    5,666.98/7,820.19 = 3,149.26/x
  3. Step 3: Cross multiply
    5,666.98x = 7,820.19 × 3,149.26
  4. Step 4: Simplify right side
    5,666.98x = 24,627,811.56
  5. Step 5: Solve for x
    x = 24,627,811.56/5,666.98
  6. Step 6: Final answer
    x = 4,345.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.