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Finding the Fourth Proportional to 4,839.60, 6,680.16 and 2,823.60

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Solution

The fourth proportional to 4,839.60, 6,680.16 and 2,823.60 is: 3,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.60 : 6,680.16 = 2,823.60 : x
  2. Step 2: Convert to fraction form
    4,839.60/6,680.16 = 2,823.60/x
  3. Step 3: Cross multiply
    4,839.60x = 6,680.16 × 2,823.60
  4. Step 4: Simplify right side
    4,839.60x = 18,862,099.78
  5. Step 5: Solve for x
    x = 18,862,099.78/4,839.60
  6. Step 6: Final answer
    x = 3,897.45

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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.