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Finding the Fourth Proportional to 6,233.60, 8,602.37 and 3,580.82

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Solution

The fourth proportional to 6,233.60, 8,602.37 and 3,580.82 is: 4,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.60 : 8,602.37 = 3,580.82 : x
  2. Step 2: Convert to fraction form
    6,233.60/8,602.37 = 3,580.82/x
  3. Step 3: Cross multiply
    6,233.60x = 8,602.37 × 3,580.82
  4. Step 4: Simplify right side
    6,233.60x = 30,803,538.54
  5. Step 5: Solve for x
    x = 30,803,538.54/6,233.60
  6. Step 6: Final answer
    x = 4,941.53

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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.