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Finding the Fourth Proportional to 3,662.94, 5,490.57 and 1,713.50

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Solution

The fourth proportional to 3,662.94, 5,490.57 and 1,713.50 is: 2,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.94 : 5,490.57 = 1,713.50 : x
  2. Step 2: Convert to fraction form
    3,662.94/5,490.57 = 1,713.50/x
  3. Step 3: Cross multiply
    3,662.94x = 5,490.57 × 1,713.50
  4. Step 4: Simplify right side
    3,662.94x = 9,408,091.70
  5. Step 5: Solve for x
    x = 9,408,091.70/3,662.94
  6. Step 6: Final answer
    x = 2,568.45

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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.