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Finding the Fourth Proportional to 5,728.82, 8,578.65 and 3,775.10

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Solution

The fourth proportional to 5,728.82, 8,578.65 and 3,775.10 is: 5,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.82 : 8,578.65 = 3,775.10 : x
  2. Step 2: Convert to fraction form
    5,728.82/8,578.65 = 3,775.10/x
  3. Step 3: Cross multiply
    5,728.82x = 8,578.65 × 3,775.10
  4. Step 4: Simplify right side
    5,728.82x = 32,385,283.06
  5. Step 5: Solve for x
    x = 32,385,283.06/5,728.82
  6. Step 6: Final answer
    x = 5,653.04

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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.