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Finding the Fourth Proportional to 5,849.54, 8,775.68 and 1,900.78

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Solution

The fourth proportional to 5,849.54, 8,775.68 and 1,900.78 is: 2,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.54 : 8,775.68 = 1,900.78 : x
  2. Step 2: Convert to fraction form
    5,849.54/8,775.68 = 1,900.78/x
  3. Step 3: Cross multiply
    5,849.54x = 8,775.68 × 1,900.78
  4. Step 4: Simplify right side
    5,849.54x = 16,680,637.03
  5. Step 5: Solve for x
    x = 16,680,637.03/5,849.54
  6. Step 6: Final answer
    x = 2,851.62

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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.