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Finding the Fourth Proportional to 3,411.96, 4,709.76 and 3,318.26

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Solution

The fourth proportional to 3,411.96, 4,709.76 and 3,318.26 is: 4,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.96 : 4,709.76 = 3,318.26 : x
  2. Step 2: Convert to fraction form
    3,411.96/4,709.76 = 3,318.26/x
  3. Step 3: Cross multiply
    3,411.96x = 4,709.76 × 3,318.26
  4. Step 4: Simplify right side
    3,411.96x = 15,628,208.22
  5. Step 5: Solve for x
    x = 15,628,208.22/3,411.96
  6. Step 6: Final answer
    x = 4,580.42

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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.