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Finding the Fourth Proportional to 6,393.40, 8,821.16 and 3,741.46

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Solution

The fourth proportional to 6,393.40, 8,821.16 and 3,741.46 is: 5,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.40 : 8,821.16 = 3,741.46 : x
  2. Step 2: Convert to fraction form
    6,393.40/8,821.16 = 3,741.46/x
  3. Step 3: Cross multiply
    6,393.40x = 8,821.16 × 3,741.46
  4. Step 4: Simplify right side
    6,393.40x = 33,004,017.29
  5. Step 5: Solve for x
    x = 33,004,017.29/6,393.40
  6. Step 6: Final answer
    x = 5,162.20

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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.