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Finding the Fourth Proportional to 5,671.24, 7,825.94 and 3,186.76

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Solution

The fourth proportional to 5,671.24, 7,825.94 and 3,186.76 is: 4,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.24 : 7,825.94 = 3,186.76 : x
  2. Step 2: Convert to fraction form
    5,671.24/7,825.94 = 3,186.76/x
  3. Step 3: Cross multiply
    5,671.24x = 7,825.94 × 3,186.76
  4. Step 4: Simplify right side
    5,671.24x = 24,939,392.55
  5. Step 5: Solve for x
    x = 24,939,392.55/5,671.24
  6. Step 6: Final answer
    x = 4,397.52

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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.