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Finding the Fourth Proportional to 4,844.64, 7,250.49 and 4,065.51

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Solution

The fourth proportional to 4,844.64, 7,250.49 and 4,065.51 is: 6,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.64 : 7,250.49 = 4,065.51 : x
  2. Step 2: Convert to fraction form
    4,844.64/7,250.49 = 4,065.51/x
  3. Step 3: Cross multiply
    4,844.64x = 7,250.49 × 4,065.51
  4. Step 4: Simplify right side
    4,844.64x = 29,476,939.60
  5. Step 5: Solve for x
    x = 29,476,939.60/4,844.64
  6. Step 6: Final answer
    x = 6,084.44

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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.