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Finding the Fourth Proportional to 5,200.55, 7,800.83 and 4,584.95

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Solution

The fourth proportional to 5,200.55, 7,800.83 and 4,584.95 is: 6,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.55 : 7,800.83 = 4,584.95 : x
  2. Step 2: Convert to fraction form
    5,200.55/7,800.83 = 4,584.95/x
  3. Step 3: Cross multiply
    5,200.55x = 7,800.83 × 4,584.95
  4. Step 4: Simplify right side
    5,200.55x = 35,766,392.58
  5. Step 5: Solve for x
    x = 35,766,392.58/5,200.55
  6. Step 6: Final answer
    x = 6,877.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.