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Finding the Fourth Proportional to 5,273.64, 7,910.40 and 1,575.90

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Solution

The fourth proportional to 5,273.64, 7,910.40 and 1,575.90 is: 2,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.64 : 7,910.40 = 1,575.90 : x
  2. Step 2: Convert to fraction form
    5,273.64/7,910.40 = 1,575.90/x
  3. Step 3: Cross multiply
    5,273.64x = 7,910.40 × 1,575.90
  4. Step 4: Simplify right side
    5,273.64x = 12,465,999.36
  5. Step 5: Solve for x
    x = 12,465,999.36/5,273.64
  6. Step 6: Final answer
    x = 2,363.83

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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.