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Finding the Fourth Proportional to 3,881.94, 5,357.16 and 2,180.40

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Solution

The fourth proportional to 3,881.94, 5,357.16 and 2,180.40 is: 3,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.94 : 5,357.16 = 2,180.40 : x
  2. Step 2: Convert to fraction form
    3,881.94/5,357.16 = 2,180.40/x
  3. Step 3: Cross multiply
    3,881.94x = 5,357.16 × 2,180.40
  4. Step 4: Simplify right side
    3,881.94x = 11,680,751.66
  5. Step 5: Solve for x
    x = 11,680,751.66/3,881.94
  6. Step 6: Final answer
    x = 3,009.00

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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.