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Finding the Fourth Proportional to 5,782.92, 7,977.30 and 3,545.88

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Solution

The fourth proportional to 5,782.92, 7,977.30 and 3,545.88 is: 4,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.92 : 7,977.30 = 3,545.88 : x
  2. Step 2: Convert to fraction form
    5,782.92/7,977.30 = 3,545.88/x
  3. Step 3: Cross multiply
    5,782.92x = 7,977.30 × 3,545.88
  4. Step 4: Simplify right side
    5,782.92x = 28,286,548.52
  5. Step 5: Solve for x
    x = 28,286,548.52/5,782.92
  6. Step 6: Final answer
    x = 4,891.40

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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.