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Finding the Fourth Proportional to 3,468.12, 4,780.27 and 2,583.60

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Solution

The fourth proportional to 3,468.12, 4,780.27 and 2,583.60 is: 3,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.12 : 4,780.27 = 2,583.60 : x
  2. Step 2: Convert to fraction form
    3,468.12/4,780.27 = 2,583.60/x
  3. Step 3: Cross multiply
    3,468.12x = 4,780.27 × 2,583.60
  4. Step 4: Simplify right side
    3,468.12x = 12,350,276.34
  5. Step 5: Solve for x
    x = 12,350,276.34/3,468.12
  6. Step 6: Final answer
    x = 3,561.09

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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.