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Finding the Fourth Proportional to 3,847.95, 5,310.09 and 2,275.74

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Solution

The fourth proportional to 3,847.95, 5,310.09 and 2,275.74 is: 3,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.95 : 5,310.09 = 2,275.74 : x
  2. Step 2: Convert to fraction form
    3,847.95/5,310.09 = 2,275.74/x
  3. Step 3: Cross multiply
    3,847.95x = 5,310.09 × 2,275.74
  4. Step 4: Simplify right side
    3,847.95x = 12,084,384.22
  5. Step 5: Solve for x
    x = 12,084,384.22/3,847.95
  6. Step 6: Final answer
    x = 3,140.47

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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.