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Finding the Fourth Proportional to 5,970.60, 8,233.90 and 3,731.76

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Solution

The fourth proportional to 5,970.60, 8,233.90 and 3,731.76 is: 5,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.60 : 8,233.90 = 3,731.76 : x
  2. Step 2: Convert to fraction form
    5,970.60/8,233.90 = 3,731.76/x
  3. Step 3: Cross multiply
    5,970.60x = 8,233.90 × 3,731.76
  4. Step 4: Simplify right side
    5,970.60x = 30,726,938.66
  5. Step 5: Solve for x
    x = 30,726,938.66/5,970.60
  6. Step 6: Final answer
    x = 5,146.37

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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.