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Finding the Fourth Proportional to 3,117.64, 4,671.25 and 2,191.54

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Solution

The fourth proportional to 3,117.64, 4,671.25 and 2,191.54 is: 3,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.64 : 4,671.25 = 2,191.54 : x
  2. Step 2: Convert to fraction form
    3,117.64/4,671.25 = 2,191.54/x
  3. Step 3: Cross multiply
    3,117.64x = 4,671.25 × 2,191.54
  4. Step 4: Simplify right side
    3,117.64x = 10,237,231.23
  5. Step 5: Solve for x
    x = 10,237,231.23/3,117.64
  6. Step 6: Final answer
    x = 3,283.65

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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.