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Finding the Fourth Proportional to 5,724.16, 8,585.28 and 1,828

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Solution

The fourth proportional to 5,724.16, 8,585.28 and 1,828 is: 2,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.16 : 8,585.28 = 1,828 : x
  2. Step 2: Convert to fraction form
    5,724.16/8,585.28 = 1,828/x
  3. Step 3: Cross multiply
    5,724.16x = 8,585.28 × 1,828
  4. Step 4: Simplify right side
    5,724.16x = 15,693,891.84
  5. Step 5: Solve for x
    x = 15,693,891.84/5,724.16
  6. Step 6: Final answer
    x = 2,741.69

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Why These Related Problems?

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