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Finding the Fourth Proportional to 4,181.56, 5,796.73 and 4,017.40

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Solution

The fourth proportional to 4,181.56, 5,796.73 and 4,017.40 is: 5,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.56 : 5,796.73 = 4,017.40 : x
  2. Step 2: Convert to fraction form
    4,181.56/5,796.73 = 4,017.40/x
  3. Step 3: Cross multiply
    4,181.56x = 5,796.73 × 4,017.40
  4. Step 4: Simplify right side
    4,181.56x = 23,287,783.10
  5. Step 5: Solve for x
    x = 23,287,783.10/4,181.56
  6. Step 6: Final answer
    x = 5,569.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.