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Finding the Fourth Proportional to 3,874.06, 5,807.37 and 1,925.20

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Solution

The fourth proportional to 3,874.06, 5,807.37 and 1,925.20 is: 2,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.06 : 5,807.37 = 1,925.20 : x
  2. Step 2: Convert to fraction form
    3,874.06/5,807.37 = 1,925.20/x
  3. Step 3: Cross multiply
    3,874.06x = 5,807.37 × 1,925.20
  4. Step 4: Simplify right side
    3,874.06x = 11,180,348.72
  5. Step 5: Solve for x
    x = 11,180,348.72/3,874.06
  6. Step 6: Final answer
    x = 2,885.95

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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.