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Finding the Fourth Proportional to 5,813.52, 8,022 and 3,295.76

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Solution

The fourth proportional to 5,813.52, 8,022 and 3,295.76 is: 4,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.52 : 8,022 = 3,295.76 : x
  2. Step 2: Convert to fraction form
    5,813.52/8,022 = 3,295.76/x
  3. Step 3: Cross multiply
    5,813.52x = 8,022 × 3,295.76
  4. Step 4: Simplify right side
    5,813.52x = 26,438,586.72
  5. Step 5: Solve for x
    x = 26,438,586.72/5,813.52
  6. Step 6: Final answer
    x = 4,547.78

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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.