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Finding the Fourth Proportional to 4,580.25, 6,316.11 and 3,738.24

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Solution

The fourth proportional to 4,580.25, 6,316.11 and 3,738.24 is: 5,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.25 : 6,316.11 = 3,738.24 : x
  2. Step 2: Convert to fraction form
    4,580.25/6,316.11 = 3,738.24/x
  3. Step 3: Cross multiply
    4,580.25x = 6,316.11 × 3,738.24
  4. Step 4: Simplify right side
    4,580.25x = 23,611,135.05
  5. Step 5: Solve for x
    x = 23,611,135.05/4,580.25
  6. Step 6: Final answer
    x = 5,154.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.