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Finding the Fourth Proportional to 4,992.47, 6,884.28 and 3,840.65

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Solution

The fourth proportional to 4,992.47, 6,884.28 and 3,840.65 is: 5,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.47 : 6,884.28 = 3,840.65 : x
  2. Step 2: Convert to fraction form
    4,992.47/6,884.28 = 3,840.65/x
  3. Step 3: Cross multiply
    4,992.47x = 6,884.28 × 3,840.65
  4. Step 4: Simplify right side
    4,992.47x = 26,440,109.98
  5. Step 5: Solve for x
    x = 26,440,109.98/4,992.47
  6. Step 6: Final answer
    x = 5,296.00

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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.