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Finding the Fourth Proportional to 5,912.60, 8,854.72 and 4,676.00

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Solution

The fourth proportional to 5,912.60, 8,854.72 and 4,676.00 is: 7,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.60 : 8,854.72 = 4,676.00 : x
  2. Step 2: Convert to fraction form
    5,912.60/8,854.72 = 4,676.00/x
  3. Step 3: Cross multiply
    5,912.60x = 8,854.72 × 4,676.00
  4. Step 4: Simplify right side
    5,912.60x = 41,404,614.76
  5. Step 5: Solve for x
    x = 41,404,614.76/5,912.60
  6. Step 6: Final answer
    x = 7,002.78

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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.