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Finding the Fourth Proportional to 5,264.81, 7,880.07 and 3,877.60

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Solution

The fourth proportional to 5,264.81, 7,880.07 and 3,877.60 is: 5,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.81 : 7,880.07 = 3,877.60 : x
  2. Step 2: Convert to fraction form
    5,264.81/7,880.07 = 3,877.60/x
  3. Step 3: Cross multiply
    5,264.81x = 7,880.07 × 3,877.60
  4. Step 4: Simplify right side
    5,264.81x = 30,555,759.43
  5. Step 5: Solve for x
    x = 30,555,759.43/5,264.81
  6. Step 6: Final answer
    x = 5,803.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.