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Finding the Fourth Proportional to 5,813.76, 8,023.04 and 5,372.80

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Solution

The fourth proportional to 5,813.76, 8,023.04 and 5,372.80 is: 7,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.76 : 8,023.04 = 5,372.80 : x
  2. Step 2: Convert to fraction form
    5,813.76/8,023.04 = 5,372.80/x
  3. Step 3: Cross multiply
    5,813.76x = 8,023.04 × 5,372.80
  4. Step 4: Simplify right side
    5,813.76x = 43,106,189.31
  5. Step 5: Solve for x
    x = 43,106,189.31/5,813.76
  6. Step 6: Final answer
    x = 7,414.51

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1.5x scale

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.