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Finding the Fourth Proportional to 6,238.86, 8,610.02 and 3,586.68

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Solution

The fourth proportional to 6,238.86, 8,610.02 and 3,586.68 is: 4,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.86 : 8,610.02 = 3,586.68 : x
  2. Step 2: Convert to fraction form
    6,238.86/8,610.02 = 3,586.68/x
  3. Step 3: Cross multiply
    6,238.86x = 8,610.02 × 3,586.68
  4. Step 4: Simplify right side
    6,238.86x = 30,881,386.53
  5. Step 5: Solve for x
    x = 30,881,386.53/6,238.86
  6. Step 6: Final answer
    x = 4,949.84

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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.