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Finding the Fourth Proportional to 3,741.02, 5,611.49 and 967.45

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Solution

The fourth proportional to 3,741.02, 5,611.49 and 967.45 is: 1,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.02 : 5,611.49 = 967.45 : x
  2. Step 2: Convert to fraction form
    3,741.02/5,611.49 = 967.45/x
  3. Step 3: Cross multiply
    3,741.02x = 5,611.49 × 967.45
  4. Step 4: Simplify right side
    3,741.02x = 5,428,807.94
  5. Step 5: Solve for x
    x = 5,428,807.94/3,741.02
  6. Step 6: Final answer
    x = 1,451.16

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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.