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Finding the Fourth Proportional to 5,929.82, 8,182.82 and 3,277.07

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Solution

The fourth proportional to 5,929.82, 8,182.82 and 3,277.07 is: 4,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.82 : 8,182.82 = 3,277.07 : x
  2. Step 2: Convert to fraction form
    5,929.82/8,182.82 = 3,277.07/x
  3. Step 3: Cross multiply
    5,929.82x = 8,182.82 × 3,277.07
  4. Step 4: Simplify right side
    5,929.82x = 26,815,641.22
  5. Step 5: Solve for x
    x = 26,815,641.22/5,929.82
  6. Step 6: Final answer
    x = 4,522.17

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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.