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Finding the Fourth Proportional to 4,935.36, 6,804.16 and 4,092.96

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Solution

The fourth proportional to 4,935.36, 6,804.16 and 4,092.96 is: 5,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.36 : 6,804.16 = 4,092.96 : x
  2. Step 2: Convert to fraction form
    4,935.36/6,804.16 = 4,092.96/x
  3. Step 3: Cross multiply
    4,935.36x = 6,804.16 × 4,092.96
  4. Step 4: Simplify right side
    4,935.36x = 27,849,154.71
  5. Step 5: Solve for x
    x = 27,849,154.71/4,935.36
  6. Step 6: Final answer
    x = 5,642.78

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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.