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Finding the Fourth Proportional to 5,674.12, 7,829.34 and 3,156.16

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Solution

The fourth proportional to 5,674.12, 7,829.34 and 3,156.16 is: 4,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.12 : 7,829.34 = 3,156.16 : x
  2. Step 2: Convert to fraction form
    5,674.12/7,829.34 = 3,156.16/x
  3. Step 3: Cross multiply
    5,674.12x = 7,829.34 × 3,156.16
  4. Step 4: Simplify right side
    5,674.12x = 24,710,649.73
  5. Step 5: Solve for x
    x = 24,710,649.73/5,674.12
  6. Step 6: Final answer
    x = 4,354.97

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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.