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Finding the Fourth Proportional to 5,409.48, 7,445.82 and 3,834.84

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Solution

The fourth proportional to 5,409.48, 7,445.82 and 3,834.84 is: 5,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.48 : 7,445.82 = 3,834.84 : x
  2. Step 2: Convert to fraction form
    5,409.48/7,445.82 = 3,834.84/x
  3. Step 3: Cross multiply
    5,409.48x = 7,445.82 × 3,834.84
  4. Step 4: Simplify right side
    5,409.48x = 28,553,528.37
  5. Step 5: Solve for x
    x = 28,553,528.37/5,409.48
  6. Step 6: Final answer
    x = 5,278.42

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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.