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Finding the Fourth Proportional to 3,853.66, 5,776.08 and 1,880.32

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Solution

The fourth proportional to 3,853.66, 5,776.08 and 1,880.32 is: 2,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.66 : 5,776.08 = 1,880.32 : x
  2. Step 2: Convert to fraction form
    3,853.66/5,776.08 = 1,880.32/x
  3. Step 3: Cross multiply
    3,853.66x = 5,776.08 × 1,880.32
  4. Step 4: Simplify right side
    3,853.66x = 10,860,878.75
  5. Step 5: Solve for x
    x = 10,860,878.75/3,853.66
  6. Step 6: Final answer
    x = 2,818.33

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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.