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Finding the Fourth Proportional to 4,908.40, 7,346.40 and 3,806.80

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Solution

The fourth proportional to 4,908.40, 7,346.40 and 3,806.80 is: 5,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.40 : 7,346.40 = 3,806.80 : x
  2. Step 2: Convert to fraction form
    4,908.40/7,346.40 = 3,806.80/x
  3. Step 3: Cross multiply
    4,908.40x = 7,346.40 × 3,806.80
  4. Step 4: Simplify right side
    4,908.40x = 27,966,275.52
  5. Step 5: Solve for x
    x = 27,966,275.52/4,908.40
  6. Step 6: Final answer
    x = 5,697.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.