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Finding the Fourth Proportional to 3,824.66, 5,735.93 and 1,484.21

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Solution

The fourth proportional to 3,824.66, 5,735.93 and 1,484.21 is: 2,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.66 : 5,735.93 = 1,484.21 : x
  2. Step 2: Convert to fraction form
    3,824.66/5,735.93 = 1,484.21/x
  3. Step 3: Cross multiply
    3,824.66x = 5,735.93 × 1,484.21
  4. Step 4: Simplify right side
    3,824.66x = 8,513,331.58
  5. Step 5: Solve for x
    x = 8,513,331.58/3,824.66
  6. Step 6: Final answer
    x = 2,225.90

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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.