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Finding the Fourth Proportional to 5,627.98, 8,437.68 and 3,406.34

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Solution

The fourth proportional to 5,627.98, 8,437.68 and 3,406.34 is: 5,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.98 : 8,437.68 = 3,406.34 : x
  2. Step 2: Convert to fraction form
    5,627.98/8,437.68 = 3,406.34/x
  3. Step 3: Cross multiply
    5,627.98x = 8,437.68 × 3,406.34
  4. Step 4: Simplify right side
    5,627.98x = 28,741,606.89
  5. Step 5: Solve for x
    x = 28,741,606.89/5,627.98
  6. Step 6: Final answer
    x = 5,106.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.