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Finding the Fourth Proportional to 3,474.86, 5,212.26 and 877.79

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Solution

The fourth proportional to 3,474.86, 5,212.26 and 877.79 is: 1,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.86 : 5,212.26 = 877.79 : x
  2. Step 2: Convert to fraction form
    3,474.86/5,212.26 = 877.79/x
  3. Step 3: Cross multiply
    3,474.86x = 5,212.26 × 877.79
  4. Step 4: Simplify right side
    3,474.86x = 4,575,282.74
  5. Step 5: Solve for x
    x = 4,575,282.74/3,474.86
  6. Step 6: Final answer
    x = 1,316.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.