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Finding the Fourth Proportional to 4,826.74, 6,654.72 and 3,830.30

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Solution

The fourth proportional to 4,826.74, 6,654.72 and 3,830.30 is: 5,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.74 : 6,654.72 = 3,830.30 : x
  2. Step 2: Convert to fraction form
    4,826.74/6,654.72 = 3,830.30/x
  3. Step 3: Cross multiply
    4,826.74x = 6,654.72 × 3,830.30
  4. Step 4: Simplify right side
    4,826.74x = 25,489,574.02
  5. Step 5: Solve for x
    x = 25,489,574.02/4,826.74
  6. Step 6: Final answer
    x = 5,280.91

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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.