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Finding the Fourth Proportional to 5,671.44, 7,826.76 and 3,314.16

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Solution

The fourth proportional to 5,671.44, 7,826.76 and 3,314.16 is: 4,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.44 : 7,826.76 = 3,314.16 : x
  2. Step 2: Convert to fraction form
    5,671.44/7,826.76 = 3,314.16/x
  3. Step 3: Cross multiply
    5,671.44x = 7,826.76 × 3,314.16
  4. Step 4: Simplify right side
    5,671.44x = 25,939,134.92
  5. Step 5: Solve for x
    x = 25,939,134.92/5,671.44
  6. Step 6: Final answer
    x = 4,573.64

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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.