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Finding the Fourth Proportional to 5,672.32, 7,827.84 and 3,313.99

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Solution

The fourth proportional to 5,672.32, 7,827.84 and 3,313.99 is: 4,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.32 : 7,827.84 = 3,313.99 : x
  2. Step 2: Convert to fraction form
    5,672.32/7,827.84 = 3,313.99/x
  3. Step 3: Cross multiply
    5,672.32x = 7,827.84 × 3,313.99
  4. Step 4: Simplify right side
    5,672.32x = 25,941,383.48
  5. Step 5: Solve for x
    x = 25,941,383.48/5,672.32
  6. Step 6: Final answer
    x = 4,573.33

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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.