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Finding the Fourth Proportional to 5,822.52, 8,030.37 and 3,580.41

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Solution

The fourth proportional to 5,822.52, 8,030.37 and 3,580.41 is: 4,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.52 : 8,030.37 = 3,580.41 : x
  2. Step 2: Convert to fraction form
    5,822.52/8,030.37 = 3,580.41/x
  3. Step 3: Cross multiply
    5,822.52x = 8,030.37 × 3,580.41
  4. Step 4: Simplify right side
    5,822.52x = 28,752,017.05
  5. Step 5: Solve for x
    x = 28,752,017.05/5,822.52
  6. Step 6: Final answer
    x = 4,938.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.