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Finding the Fourth Proportional to 4,974.24, 6,820.80 and 4,844.64

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Solution

The fourth proportional to 4,974.24, 6,820.80 and 4,844.64 is: 6,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.24 : 6,820.80 = 4,844.64 : x
  2. Step 2: Convert to fraction form
    4,974.24/6,820.80 = 4,844.64/x
  3. Step 3: Cross multiply
    4,974.24x = 6,820.80 × 4,844.64
  4. Step 4: Simplify right side
    4,974.24x = 33,044,320.51
  5. Step 5: Solve for x
    x = 33,044,320.51/4,974.24
  6. Step 6: Final answer
    x = 6,643.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.