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Finding the Fourth Proportional to 5,232.84, 7,884.17 and 4,733.09

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Solution

The fourth proportional to 5,232.84, 7,884.17 and 4,733.09 is: 7,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.84 : 7,884.17 = 4,733.09 : x
  2. Step 2: Convert to fraction form
    5,232.84/7,884.17 = 4,733.09/x
  3. Step 3: Cross multiply
    5,232.84x = 7,884.17 × 4,733.09
  4. Step 4: Simplify right side
    5,232.84x = 37,316,525.86
  5. Step 5: Solve for x
    x = 37,316,525.86/5,232.84
  6. Step 6: Final answer
    x = 7,131.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.