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Finding the Fourth Proportional to 5,836.88, 8,047.44 and 3,478.16

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Solution

The fourth proportional to 5,836.88, 8,047.44 and 3,478.16 is: 4,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.88 : 8,047.44 = 3,478.16 : x
  2. Step 2: Convert to fraction form
    5,836.88/8,047.44 = 3,478.16/x
  3. Step 3: Cross multiply
    5,836.88x = 8,047.44 × 3,478.16
  4. Step 4: Simplify right side
    5,836.88x = 27,990,283.91
  5. Step 5: Solve for x
    x = 27,990,283.91/5,836.88
  6. Step 6: Final answer
    x = 4,795.42

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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.