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Finding the Fourth Proportional to 5,864.24, 8,797.16 and 1,969.76

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Solution

The fourth proportional to 5,864.24, 8,797.16 and 1,969.76 is: 2,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.24 : 8,797.16 = 1,969.76 : x
  2. Step 2: Convert to fraction form
    5,864.24/8,797.16 = 1,969.76/x
  3. Step 3: Cross multiply
    5,864.24x = 8,797.16 × 1,969.76
  4. Step 4: Simplify right side
    5,864.24x = 17,328,293.88
  5. Step 5: Solve for x
    x = 17,328,293.88/5,864.24
  6. Step 6: Final answer
    x = 2,954.91

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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.