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Finding the Fourth Proportional to 5,857.30, 8,783.52 and 1,959.58

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Solution

The fourth proportional to 5,857.30, 8,783.52 and 1,959.58 is: 2,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.30 : 8,783.52 = 1,959.58 : x
  2. Step 2: Convert to fraction form
    5,857.30/8,783.52 = 1,959.58/x
  3. Step 3: Cross multiply
    5,857.30x = 8,783.52 × 1,959.58
  4. Step 4: Simplify right side
    5,857.30x = 17,212,010.12
  5. Step 5: Solve for x
    x = 17,212,010.12/5,857.30
  6. Step 6: Final answer
    x = 2,938.56

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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.