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Finding the Fourth Proportional to 5,772.18, 7,965.36 and 3,537.84

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Solution

The fourth proportional to 5,772.18, 7,965.36 and 3,537.84 is: 4,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.18 : 7,965.36 = 3,537.84 : x
  2. Step 2: Convert to fraction form
    5,772.18/7,965.36 = 3,537.84/x
  3. Step 3: Cross multiply
    5,772.18x = 7,965.36 × 3,537.84
  4. Step 4: Simplify right side
    5,772.18x = 28,180,169.22
  5. Step 5: Solve for x
    x = 28,180,169.22/5,772.18
  6. Step 6: Final answer
    x = 4,882.07

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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.