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Finding the Fourth Proportional to 5,387.82, 8,082.03 and 1,925.07

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Solution

The fourth proportional to 5,387.82, 8,082.03 and 1,925.07 is: 2,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.82 : 8,082.03 = 1,925.07 : x
  2. Step 2: Convert to fraction form
    5,387.82/8,082.03 = 1,925.07/x
  3. Step 3: Cross multiply
    5,387.82x = 8,082.03 × 1,925.07
  4. Step 4: Simplify right side
    5,387.82x = 15,558,473.49
  5. Step 5: Solve for x
    x = 15,558,473.49/5,387.82
  6. Step 6: Final answer
    x = 2,887.71

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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.