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Finding the Fourth Proportional to 3,584.78, 5,376.54 and 1,636.52

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Solution

The fourth proportional to 3,584.78, 5,376.54 and 1,636.52 is: 2,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.78 : 5,376.54 = 1,636.52 : x
  2. Step 2: Convert to fraction form
    3,584.78/5,376.54 = 1,636.52/x
  3. Step 3: Cross multiply
    3,584.78x = 5,376.54 × 1,636.52
  4. Step 4: Simplify right side
    3,584.78x = 8,798,815.24
  5. Step 5: Solve for x
    x = 8,798,815.24/3,584.78
  6. Step 6: Final answer
    x = 2,454.50

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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.