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Finding the Fourth Proportional to 6,335.95, 8,740.81 and 3,816.57

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Solution

The fourth proportional to 6,335.95, 8,740.81 and 3,816.57 is: 5,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.95 : 8,740.81 = 3,816.57 : x
  2. Step 2: Convert to fraction form
    6,335.95/8,740.81 = 3,816.57/x
  3. Step 3: Cross multiply
    6,335.95x = 8,740.81 × 3,816.57
  4. Step 4: Simplify right side
    6,335.95x = 33,359,913.22
  5. Step 5: Solve for x
    x = 33,359,913.22/6,335.95
  6. Step 6: Final answer
    x = 5,265.18

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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.