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Finding the Fourth Proportional to 3,580.78, 5,370.54 and 1,632.52

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Solution

The fourth proportional to 3,580.78, 5,370.54 and 1,632.52 is: 2,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.78 : 5,370.54 = 1,632.52 : x
  2. Step 2: Convert to fraction form
    3,580.78/5,370.54 = 1,632.52/x
  3. Step 3: Cross multiply
    3,580.78x = 5,370.54 × 1,632.52
  4. Step 4: Simplify right side
    3,580.78x = 8,767,513.96
  5. Step 5: Solve for x
    x = 8,767,513.96/3,580.78
  6. Step 6: Final answer
    x = 2,448.49

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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.