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Finding the Fourth Proportional to 5,725.76, 8,585.04 and 2,215.76

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Solution

The fourth proportional to 5,725.76, 8,585.04 and 2,215.76 is: 3,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.76 : 8,585.04 = 2,215.76 : x
  2. Step 2: Convert to fraction form
    5,725.76/8,585.04 = 2,215.76/x
  3. Step 3: Cross multiply
    5,725.76x = 8,585.04 × 2,215.76
  4. Step 4: Simplify right side
    5,725.76x = 19,022,388.23
  5. Step 5: Solve for x
    x = 19,022,388.23/5,725.76
  6. Step 6: Final answer
    x = 3,322.25

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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.