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Finding the Fourth Proportional to 4,927.84, 6,797.52 and 3,600

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Solution

The fourth proportional to 4,927.84, 6,797.52 and 3,600 is: 4,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.84 : 6,797.52 = 3,600 : x
  2. Step 2: Convert to fraction form
    4,927.84/6,797.52 = 3,600/x
  3. Step 3: Cross multiply
    4,927.84x = 6,797.52 × 3,600
  4. Step 4: Simplify right side
    4,927.84x = 24,471,072
  5. Step 5: Solve for x
    x = 24,471,072/4,927.84
  6. Step 6: Final answer
    x = 4,965.88

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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.