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Finding the Fourth Proportional to 4,699.94, 6,471.16 and 3,990.31

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Solution

The fourth proportional to 4,699.94, 6,471.16 and 3,990.31 is: 5,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.94 : 6,471.16 = 3,990.31 : x
  2. Step 2: Convert to fraction form
    4,699.94/6,471.16 = 3,990.31/x
  3. Step 3: Cross multiply
    4,699.94x = 6,471.16 × 3,990.31
  4. Step 4: Simplify right side
    4,699.94x = 25,821,934.46
  5. Step 5: Solve for x
    x = 25,821,934.46/4,699.94
  6. Step 6: Final answer
    x = 5,494.10

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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.