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Finding the Fourth Proportional to 5,559, 7,671.63 and 3,169.35

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Solution

The fourth proportional to 5,559, 7,671.63 and 3,169.35 is: 4,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559 : 7,671.63 = 3,169.35 : x
  2. Step 2: Convert to fraction form
    5,559/7,671.63 = 3,169.35/x
  3. Step 3: Cross multiply
    5,559x = 7,671.63 × 3,169.35
  4. Step 4: Simplify right side
    5,559x = 24,314,080.54
  5. Step 5: Solve for x
    x = 24,314,080.54/5,559
  6. Step 6: Final answer
    x = 4,373.82

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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.