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Finding the Fourth Proportional to 6,188.99, 8,538.74 and 3,671.90

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Solution

The fourth proportional to 6,188.99, 8,538.74 and 3,671.90 is: 5,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.99 : 8,538.74 = 3,671.90 : x
  2. Step 2: Convert to fraction form
    6,188.99/8,538.74 = 3,671.90/x
  3. Step 3: Cross multiply
    6,188.99x = 8,538.74 × 3,671.90
  4. Step 4: Simplify right side
    6,188.99x = 31,353,356.71
  5. Step 5: Solve for x
    x = 31,353,356.71/6,188.99
  6. Step 6: Final answer
    x = 5,065.99

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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.