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Finding the Fourth Proportional to 4,811.20, 7,227.60 and 4,681.60

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Solution

The fourth proportional to 4,811.20, 7,227.60 and 4,681.60 is: 7,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.20 : 7,227.60 = 4,681.60 : x
  2. Step 2: Convert to fraction form
    4,811.20/7,227.60 = 4,681.60/x
  3. Step 3: Cross multiply
    4,811.20x = 7,227.60 × 4,681.60
  4. Step 4: Simplify right side
    4,811.20x = 33,836,732.16
  5. Step 5: Solve for x
    x = 33,836,732.16/4,811.20
  6. Step 6: Final answer
    x = 7,032.91

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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.