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Finding the Fourth Proportional to 3,886.95, 5,830.43 and 965.24

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Solution

The fourth proportional to 3,886.95, 5,830.43 and 965.24 is: 1,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.95 : 5,830.43 = 965.24 : x
  2. Step 2: Convert to fraction form
    3,886.95/5,830.43 = 965.24/x
  3. Step 3: Cross multiply
    3,886.95x = 5,830.43 × 965.24
  4. Step 4: Simplify right side
    3,886.95x = 5,627,730.27
  5. Step 5: Solve for x
    x = 5,627,730.27/3,886.95
  6. Step 6: Final answer
    x = 1,447.85

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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.