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Finding the Fourth Proportional to 4,824.55, 6,654.72 and 3,828.25

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Solution

The fourth proportional to 4,824.55, 6,654.72 and 3,828.25 is: 5,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.55 : 6,654.72 = 3,828.25 : x
  2. Step 2: Convert to fraction form
    4,824.55/6,654.72 = 3,828.25/x
  3. Step 3: Cross multiply
    4,824.55x = 6,654.72 × 3,828.25
  4. Step 4: Simplify right side
    4,824.55x = 25,475,931.84
  5. Step 5: Solve for x
    x = 25,475,931.84/4,824.55
  6. Step 6: Final answer
    x = 5,280.48

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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.