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Finding the Fourth Proportional to 3,986.56, 5,980.08 and 1,678.24

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Solution

The fourth proportional to 3,986.56, 5,980.08 and 1,678.24 is: 2,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.56 : 5,980.08 = 1,678.24 : x
  2. Step 2: Convert to fraction form
    3,986.56/5,980.08 = 1,678.24/x
  3. Step 3: Cross multiply
    3,986.56x = 5,980.08 × 1,678.24
  4. Step 4: Simplify right side
    3,986.56x = 10,036,009.46
  5. Step 5: Solve for x
    x = 10,036,009.46/3,986.56
  6. Step 6: Final answer
    x = 2,517.46

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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.