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Finding the Fourth Proportional to 5,362.88, 8,044 and 1,899.84

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Solution

The fourth proportional to 5,362.88, 8,044 and 1,899.84 is: 2,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.88 : 8,044 = 1,899.84 : x
  2. Step 2: Convert to fraction form
    5,362.88/8,044 = 1,899.84/x
  3. Step 3: Cross multiply
    5,362.88x = 8,044 × 1,899.84
  4. Step 4: Simplify right side
    5,362.88x = 15,282,312.96
  5. Step 5: Solve for x
    x = 15,282,312.96/5,362.88
  6. Step 6: Final answer
    x = 2,849.65

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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.