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Finding the Fourth Proportional to 5,815.88, 8,022.76 and 5,022.48

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Solution

The fourth proportional to 5,815.88, 8,022.76 and 5,022.48 is: 6,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.88 : 8,022.76 = 5,022.48 : x
  2. Step 2: Convert to fraction form
    5,815.88/8,022.76 = 5,022.48/x
  3. Step 3: Cross multiply
    5,815.88x = 8,022.76 × 5,022.48
  4. Step 4: Simplify right side
    5,815.88x = 40,294,151.64
  5. Step 5: Solve for x
    x = 40,294,151.64/5,815.88
  6. Step 6: Final answer
    x = 6,928.30

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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.