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Finding the Fourth Proportional to 4,839.86, 7,254.88 and 3,280.02

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Solution

The fourth proportional to 4,839.86, 7,254.88 and 3,280.02 is: 4,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.86 : 7,254.88 = 3,280.02 : x
  2. Step 2: Convert to fraction form
    4,839.86/7,254.88 = 3,280.02/x
  3. Step 3: Cross multiply
    4,839.86x = 7,254.88 × 3,280.02
  4. Step 4: Simplify right side
    4,839.86x = 23,796,128.39
  5. Step 5: Solve for x
    x = 23,796,128.39/4,839.86
  6. Step 6: Final answer
    x = 4,916.70

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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.