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Finding the Fourth Proportional to 3,870.18, 5,807.32 and 1,680.44

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Solution

The fourth proportional to 3,870.18, 5,807.32 and 1,680.44 is: 2,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.18 : 5,807.32 = 1,680.44 : x
  2. Step 2: Convert to fraction form
    3,870.18/5,807.32 = 1,680.44/x
  3. Step 3: Cross multiply
    3,870.18x = 5,807.32 × 1,680.44
  4. Step 4: Simplify right side
    3,870.18x = 9,758,858.94
  5. Step 5: Solve for x
    x = 9,758,858.94/3,870.18
  6. Step 6: Final answer
    x = 2,521.55

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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.