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Finding the Fourth Proportional to 3,855.89, 5,783.78 and 934.18

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Solution

The fourth proportional to 3,855.89, 5,783.78 and 934.18 is: 1,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.89 : 5,783.78 = 934.18 : x
  2. Step 2: Convert to fraction form
    3,855.89/5,783.78 = 934.18/x
  3. Step 3: Cross multiply
    3,855.89x = 5,783.78 × 934.18
  4. Step 4: Simplify right side
    3,855.89x = 5,403,079.48
  5. Step 5: Solve for x
    x = 5,403,079.48/3,855.89
  6. Step 6: Final answer
    x = 1,401.25

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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.