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Finding the Fourth Proportional to 5,722.64, 8,585.28 and 2,024.88

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Solution

The fourth proportional to 5,722.64, 8,585.28 and 2,024.88 is: 3,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.64 : 8,585.28 = 2,024.88 : x
  2. Step 2: Convert to fraction form
    5,722.64/8,585.28 = 2,024.88/x
  3. Step 3: Cross multiply
    5,722.64x = 8,585.28 × 2,024.88
  4. Step 4: Simplify right side
    5,722.64x = 17,384,161.77
  5. Step 5: Solve for x
    x = 17,384,161.77/5,722.64
  6. Step 6: Final answer
    x = 3,037.79

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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.