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Finding the Fourth Proportional to 5,782.98, 8,710.49 and 5,377.44

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Solution

The fourth proportional to 5,782.98, 8,710.49 and 5,377.44 is: 8,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.98 : 8,710.49 = 5,377.44 : x
  2. Step 2: Convert to fraction form
    5,782.98/8,710.49 = 5,377.44/x
  3. Step 3: Cross multiply
    5,782.98x = 8,710.49 × 5,377.44
  4. Step 4: Simplify right side
    5,782.98x = 46,840,137.35
  5. Step 5: Solve for x
    x = 46,840,137.35/5,782.98
  6. Step 6: Final answer
    x = 8,099.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.