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Finding the Fourth Proportional to 5,125.64, 7,700.76 and 3,280.36

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Solution

The fourth proportional to 5,125.64, 7,700.76 and 3,280.36 is: 4,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.64 : 7,700.76 = 3,280.36 : x
  2. Step 2: Convert to fraction form
    5,125.64/7,700.76 = 3,280.36/x
  3. Step 3: Cross multiply
    5,125.64x = 7,700.76 × 3,280.36
  4. Step 4: Simplify right side
    5,125.64x = 25,261,265.07
  5. Step 5: Solve for x
    x = 25,261,265.07/5,125.64
  6. Step 6: Final answer
    x = 4,928.41

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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.