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Finding the Fourth Proportional to 5,817.64, 8,028.84 and 3,461.08

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Solution

The fourth proportional to 5,817.64, 8,028.84 and 3,461.08 is: 4,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.64 : 8,028.84 = 3,461.08 : x
  2. Step 2: Convert to fraction form
    5,817.64/8,028.84 = 3,461.08/x
  3. Step 3: Cross multiply
    5,817.64x = 8,028.84 × 3,461.08
  4. Step 4: Simplify right side
    5,817.64x = 27,788,457.55
  5. Step 5: Solve for x
    x = 27,788,457.55/5,817.64
  6. Step 6: Final answer
    x = 4,776.59

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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.