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Finding the Fourth Proportional to 5,262.58, 7,900.80 and 4,100.06

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Solution

The fourth proportional to 5,262.58, 7,900.80 and 4,100.06 is: 6,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.58 : 7,900.80 = 4,100.06 : x
  2. Step 2: Convert to fraction form
    5,262.58/7,900.80 = 4,100.06/x
  3. Step 3: Cross multiply
    5,262.58x = 7,900.80 × 4,100.06
  4. Step 4: Simplify right side
    5,262.58x = 32,393,754.05
  5. Step 5: Solve for x
    x = 32,393,754.05/5,262.58
  6. Step 6: Final answer
    x = 6,155.49

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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.