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Finding the Fourth Proportional to 5,494.88, 8,242.32 and 1,599.59

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Solution

The fourth proportional to 5,494.88, 8,242.32 and 1,599.59 is: 2,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.88 : 8,242.32 = 1,599.59 : x
  2. Step 2: Convert to fraction form
    5,494.88/8,242.32 = 1,599.59/x
  3. Step 3: Cross multiply
    5,494.88x = 8,242.32 × 1,599.59
  4. Step 4: Simplify right side
    5,494.88x = 13,184,359.25
  5. Step 5: Solve for x
    x = 13,184,359.25/5,494.88
  6. Step 6: Final answer
    x = 2,399.39

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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.