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Finding the Fourth Proportional to 5,188.08, 7,782.12 and 1,901.44

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Solution

The fourth proportional to 5,188.08, 7,782.12 and 1,901.44 is: 2,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.08 : 7,782.12 = 1,901.44 : x
  2. Step 2: Convert to fraction form
    5,188.08/7,782.12 = 1,901.44/x
  3. Step 3: Cross multiply
    5,188.08x = 7,782.12 × 1,901.44
  4. Step 4: Simplify right side
    5,188.08x = 14,797,243.98
  5. Step 5: Solve for x
    x = 14,797,243.98/5,188.08
  6. Step 6: Final answer
    x = 2,852.16

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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.