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Finding the Fourth Proportional to 3,414.96, 4,710.96 and 2,785.32

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Solution

The fourth proportional to 3,414.96, 4,710.96 and 2,785.32 is: 3,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.96 : 4,710.96 = 2,785.32 : x
  2. Step 2: Convert to fraction form
    3,414.96/4,710.96 = 2,785.32/x
  3. Step 3: Cross multiply
    3,414.96x = 4,710.96 × 2,785.32
  4. Step 4: Simplify right side
    3,414.96x = 13,121,531.11
  5. Step 5: Solve for x
    x = 13,121,531.11/3,414.96
  6. Step 6: Final answer
    x = 3,842.37

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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.