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Finding the Fourth Proportional to 5,494.96, 8,243.52 and 1,599.40

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Solution

The fourth proportional to 5,494.96, 8,243.52 and 1,599.40 is: 2,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.96 : 8,243.52 = 1,599.40 : x
  2. Step 2: Convert to fraction form
    5,494.96/8,243.52 = 1,599.40/x
  3. Step 3: Cross multiply
    5,494.96x = 8,243.52 × 1,599.40
  4. Step 4: Simplify right side
    5,494.96x = 13,184,685.89
  5. Step 5: Solve for x
    x = 13,184,685.89/5,494.96
  6. Step 6: Final answer
    x = 2,399.41

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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.