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Finding the Fourth Proportional to 4,654.65, 6,425.69 and 3,656.73

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Solution

The fourth proportional to 4,654.65, 6,425.69 and 3,656.73 is: 5,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.65 : 6,425.69 = 3,656.73 : x
  2. Step 2: Convert to fraction form
    4,654.65/6,425.69 = 3,656.73/x
  3. Step 3: Cross multiply
    4,654.65x = 6,425.69 × 3,656.73
  4. Step 4: Simplify right side
    4,654.65x = 23,496,995.11
  5. Step 5: Solve for x
    x = 23,496,995.11/4,654.65
  6. Step 6: Final answer
    x = 5,048.07

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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.