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Finding the Fourth Proportional to 5,206.88, 7,803.95 and 2,866.79

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Solution

The fourth proportional to 5,206.88, 7,803.95 and 2,866.79 is: 4,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.88 : 7,803.95 = 2,866.79 : x
  2. Step 2: Convert to fraction form
    5,206.88/7,803.95 = 2,866.79/x
  3. Step 3: Cross multiply
    5,206.88x = 7,803.95 × 2,866.79
  4. Step 4: Simplify right side
    5,206.88x = 22,372,291.00
  5. Step 5: Solve for x
    x = 22,372,291.00/5,206.88
  6. Step 6: Final answer
    x = 4,296.68

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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.