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Finding the Fourth Proportional to 6,406.36, 8,840.92 and 3,574.18

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Solution

The fourth proportional to 6,406.36, 8,840.92 and 3,574.18 is: 4,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.36 : 8,840.92 = 3,574.18 : x
  2. Step 2: Convert to fraction form
    6,406.36/8,840.92 = 3,574.18/x
  3. Step 3: Cross multiply
    6,406.36x = 8,840.92 × 3,574.18
  4. Step 4: Simplify right side
    6,406.36x = 31,599,039.45
  5. Step 5: Solve for x
    x = 31,599,039.45/6,406.36
  6. Step 6: Final answer
    x = 4,932.45

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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.