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Finding the Fourth Proportional to 3,583.98, 5,373.81 and 1,633.50

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Solution

The fourth proportional to 3,583.98, 5,373.81 and 1,633.50 is: 2,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.98 : 5,373.81 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    3,583.98/5,373.81 = 1,633.50/x
  3. Step 3: Cross multiply
    3,583.98x = 5,373.81 × 1,633.50
  4. Step 4: Simplify right side
    3,583.98x = 8,778,118.64
  5. Step 5: Solve for x
    x = 8,778,118.64/3,583.98
  6. Step 6: Final answer
    x = 2,449.27

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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.