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Finding the Fourth Proportional to 5,881.40, 8,116.16 and 3,228.80

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Solution

The fourth proportional to 5,881.40, 8,116.16 and 3,228.80 is: 4,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.40 : 8,116.16 = 3,228.80 : x
  2. Step 2: Convert to fraction form
    5,881.40/8,116.16 = 3,228.80/x
  3. Step 3: Cross multiply
    5,881.40x = 8,116.16 × 3,228.80
  4. Step 4: Simplify right side
    5,881.40x = 26,205,457.41
  5. Step 5: Solve for x
    x = 26,205,457.41/5,881.40
  6. Step 6: Final answer
    x = 4,455.65

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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.