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Finding the Fourth Proportional to 3,878.16, 5,812.12 and 2,235.60

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Solution

The fourth proportional to 3,878.16, 5,812.12 and 2,235.60 is: 3,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.16 : 5,812.12 = 2,235.60 : x
  2. Step 2: Convert to fraction form
    3,878.16/5,812.12 = 2,235.60/x
  3. Step 3: Cross multiply
    3,878.16x = 5,812.12 × 2,235.60
  4. Step 4: Simplify right side
    3,878.16x = 12,993,575.47
  5. Step 5: Solve for x
    x = 12,993,575.47/3,878.16
  6. Step 6: Final answer
    x = 3,350.45

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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.