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Finding the Fourth Proportional to 5,744.95, 8,615.30 and 2,046.20

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Solution

The fourth proportional to 5,744.95, 8,615.30 and 2,046.20 is: 3,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.95 : 8,615.30 = 2,046.20 : x
  2. Step 2: Convert to fraction form
    5,744.95/8,615.30 = 2,046.20/x
  3. Step 3: Cross multiply
    5,744.95x = 8,615.30 × 2,046.20
  4. Step 4: Simplify right side
    5,744.95x = 17,628,573.55
  5. Step 5: Solve for x
    x = 17,628,573.55/5,744.95
  6. Step 6: Final answer
    x = 3,068.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.