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Finding the Fourth Proportional to 5,302.56, 7,947.84 and 2,700

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Solution

The fourth proportional to 5,302.56, 7,947.84 and 2,700 is: 4,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.56 : 7,947.84 = 2,700 : x
  2. Step 2: Convert to fraction form
    5,302.56/7,947.84 = 2,700/x
  3. Step 3: Cross multiply
    5,302.56x = 7,947.84 × 2,700
  4. Step 4: Simplify right side
    5,302.56x = 21,459,168
  5. Step 5: Solve for x
    x = 21,459,168/5,302.56
  6. Step 6: Final answer
    x = 4,046.94

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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.