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Finding the Fourth Proportional to 5,665.24, 8,498.94 and 1,768.84

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Solution

The fourth proportional to 5,665.24, 8,498.94 and 1,768.84 is: 2,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.24 : 8,498.94 = 1,768.84 : x
  2. Step 2: Convert to fraction form
    5,665.24/8,498.94 = 1,768.84/x
  3. Step 3: Cross multiply
    5,665.24x = 8,498.94 × 1,768.84
  4. Step 4: Simplify right side
    5,665.24x = 15,033,265.03
  5. Step 5: Solve for x
    x = 15,033,265.03/5,665.24
  6. Step 6: Final answer
    x = 2,653.60

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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.