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Finding the Fourth Proportional to 5,198.63, 7,798.16 and 1,909.92

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Solution

The fourth proportional to 5,198.63, 7,798.16 and 1,909.92 is: 2,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.63 : 7,798.16 = 1,909.92 : x
  2. Step 2: Convert to fraction form
    5,198.63/7,798.16 = 1,909.92/x
  3. Step 3: Cross multiply
    5,198.63x = 7,798.16 × 1,909.92
  4. Step 4: Simplify right side
    5,198.63x = 14,893,852.20
  5. Step 5: Solve for x
    x = 14,893,852.20/5,198.63
  6. Step 6: Final answer
    x = 2,864.96

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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.