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Finding the Fourth Proportional to 3,775.70, 5,210.88 and 2,284.44

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Solution

The fourth proportional to 3,775.70, 5,210.88 and 2,284.44 is: 3,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.70 : 5,210.88 = 2,284.44 : x
  2. Step 2: Convert to fraction form
    3,775.70/5,210.88 = 2,284.44/x
  3. Step 3: Cross multiply
    3,775.70x = 5,210.88 × 2,284.44
  4. Step 4: Simplify right side
    3,775.70x = 11,903,947.12
  5. Step 5: Solve for x
    x = 11,903,947.12/3,775.70
  6. Step 6: Final answer
    x = 3,152.78

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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.