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Finding the Fourth Proportional to 3,914.88, 5,844.32 and 3,778.08

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Solution

The fourth proportional to 3,914.88, 5,844.32 and 3,778.08 is: 5,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.88 : 5,844.32 = 3,778.08 : x
  2. Step 2: Convert to fraction form
    3,914.88/5,844.32 = 3,778.08/x
  3. Step 3: Cross multiply
    3,914.88x = 5,844.32 × 3,778.08
  4. Step 4: Simplify right side
    3,914.88x = 22,080,308.51
  5. Step 5: Solve for x
    x = 22,080,308.51/3,914.88
  6. Step 6: Final answer
    x = 5,640.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.