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Finding the Fourth Proportional to 6,130.81, 8,457.70 and 3,611.71

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Solution

The fourth proportional to 6,130.81, 8,457.70 and 3,611.71 is: 4,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.81 : 8,457.70 = 3,611.71 : x
  2. Step 2: Convert to fraction form
    6,130.81/8,457.70 = 3,611.71/x
  3. Step 3: Cross multiply
    6,130.81x = 8,457.70 × 3,611.71
  4. Step 4: Simplify right side
    6,130.81x = 30,546,759.67
  5. Step 5: Solve for x
    x = 30,546,759.67/6,130.81
  6. Step 6: Final answer
    x = 4,982.50

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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.