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Finding the Fourth Proportional to 3,730.69, 5,591.93 and 1,538.22

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Solution

The fourth proportional to 3,730.69, 5,591.93 and 1,538.22 is: 2,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.69 : 5,591.93 = 1,538.22 : x
  2. Step 2: Convert to fraction form
    3,730.69/5,591.93 = 1,538.22/x
  3. Step 3: Cross multiply
    3,730.69x = 5,591.93 × 1,538.22
  4. Step 4: Simplify right side
    3,730.69x = 8,601,622.41
  5. Step 5: Solve for x
    x = 8,601,622.41/3,730.69
  6. Step 6: Final answer
    x = 2,305.64

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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.