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Finding the Fourth Proportional to 5,971.60, 8,235.28 and 3,732.76

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Solution

The fourth proportional to 5,971.60, 8,235.28 and 3,732.76 is: 5,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.60 : 8,235.28 = 3,732.76 : x
  2. Step 2: Convert to fraction form
    5,971.60/8,235.28 = 3,732.76/x
  3. Step 3: Cross multiply
    5,971.60x = 8,235.28 × 3,732.76
  4. Step 4: Simplify right side
    5,971.60x = 30,740,323.77
  5. Step 5: Solve for x
    x = 30,740,323.77/5,971.60
  6. Step 6: Final answer
    x = 5,147.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.