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Finding the Fourth Proportional to 4,771.90, 7,158.05 and 1,485.06

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Solution

The fourth proportional to 4,771.90, 7,158.05 and 1,485.06 is: 2,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.90 : 7,158.05 = 1,485.06 : x
  2. Step 2: Convert to fraction form
    4,771.90/7,158.05 = 1,485.06/x
  3. Step 3: Cross multiply
    4,771.90x = 7,158.05 × 1,485.06
  4. Step 4: Simplify right side
    4,771.90x = 10,630,133.73
  5. Step 5: Solve for x
    x = 10,630,133.73/4,771.90
  6. Step 6: Final answer
    x = 2,227.65

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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.