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Finding the Fourth Proportional to 3,409.67, 4,684.95 and 2,709.83

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Solution

The fourth proportional to 3,409.67, 4,684.95 and 2,709.83 is: 3,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.67 : 4,684.95 = 2,709.83 : x
  2. Step 2: Convert to fraction form
    3,409.67/4,684.95 = 2,709.83/x
  3. Step 3: Cross multiply
    3,409.67x = 4,684.95 × 2,709.83
  4. Step 4: Simplify right side
    3,409.67x = 12,695,384.47
  5. Step 5: Solve for x
    x = 12,695,384.47/3,409.67
  6. Step 6: Final answer
    x = 3,723.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.