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Finding the Fourth Proportional to 3,575.75, 4,923.68 and 3,171.60

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Solution

The fourth proportional to 3,575.75, 4,923.68 and 3,171.60 is: 4,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.75 : 4,923.68 = 3,171.60 : x
  2. Step 2: Convert to fraction form
    3,575.75/4,923.68 = 3,171.60/x
  3. Step 3: Cross multiply
    3,575.75x = 4,923.68 × 3,171.60
  4. Step 4: Simplify right side
    3,575.75x = 15,615,927.63
  5. Step 5: Solve for x
    x = 15,615,927.63/3,575.75
  6. Step 6: Final answer
    x = 4,367.18

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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.