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Finding the Fourth Proportional to 5,584.61, 8,373.73 and 2,295

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Solution

The fourth proportional to 5,584.61, 8,373.73 and 2,295 is: 3,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.61 : 8,373.73 = 2,295 : x
  2. Step 2: Convert to fraction form
    5,584.61/8,373.73 = 2,295/x
  3. Step 3: Cross multiply
    5,584.61x = 8,373.73 × 2,295
  4. Step 4: Simplify right side
    5,584.61x = 19,217,708.92
  5. Step 5: Solve for x
    x = 19,217,708.92/5,584.61
  6. Step 6: Final answer
    x = 3,441.19

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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.