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Finding the Fourth Proportional to 5,362.56, 8,043.84 and 1,899

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Solution

The fourth proportional to 5,362.56, 8,043.84 and 1,899 is: 2,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.56 : 8,043.84 = 1,899 : x
  2. Step 2: Convert to fraction form
    5,362.56/8,043.84 = 1,899/x
  3. Step 3: Cross multiply
    5,362.56x = 8,043.84 × 1,899
  4. Step 4: Simplify right side
    5,362.56x = 15,275,252.16
  5. Step 5: Solve for x
    x = 15,275,252.16/5,362.56
  6. Step 6: Final answer
    x = 2,848.50

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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.