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Finding the Fourth Proportional to 6,581.52, 9,082.52 and 3,787

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Solution

The fourth proportional to 6,581.52, 9,082.52 and 3,787 is: 5,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.52 : 9,082.52 = 3,787 : x
  2. Step 2: Convert to fraction form
    6,581.52/9,082.52 = 3,787/x
  3. Step 3: Cross multiply
    6,581.52x = 9,082.52 × 3,787
  4. Step 4: Simplify right side
    6,581.52x = 34,395,503.24
  5. Step 5: Solve for x
    x = 34,395,503.24/6,581.52
  6. Step 6: Final answer
    x = 5,226.07

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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.