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Finding the Fourth Proportional to 5,709.94, 7,880.02 and 3,471.45

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Solution

The fourth proportional to 5,709.94, 7,880.02 and 3,471.45 is: 4,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.94 : 7,880.02 = 3,471.45 : x
  2. Step 2: Convert to fraction form
    5,709.94/7,880.02 = 3,471.45/x
  3. Step 3: Cross multiply
    5,709.94x = 7,880.02 × 3,471.45
  4. Step 4: Simplify right side
    5,709.94x = 27,355,095.43
  5. Step 5: Solve for x
    x = 27,355,095.43/5,709.94
  6. Step 6: Final answer
    x = 4,790.79

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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.