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Finding the Fourth Proportional to 3,784.82, 5,678.46 and 1,594.16

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Solution

The fourth proportional to 3,784.82, 5,678.46 and 1,594.16 is: 2,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.82 : 5,678.46 = 1,594.16 : x
  2. Step 2: Convert to fraction form
    3,784.82/5,678.46 = 1,594.16/x
  3. Step 3: Cross multiply
    3,784.82x = 5,678.46 × 1,594.16
  4. Step 4: Simplify right side
    3,784.82x = 9,052,373.79
  5. Step 5: Solve for x
    x = 9,052,373.79/3,784.82
  6. Step 6: Final answer
    x = 2,391.76

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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.