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Finding the Fourth Proportional to 4,806.52, 7,209.78 and 1,886.20

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Solution

The fourth proportional to 4,806.52, 7,209.78 and 1,886.20 is: 2,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.52 : 7,209.78 = 1,886.20 : x
  2. Step 2: Convert to fraction form
    4,806.52/7,209.78 = 1,886.20/x
  3. Step 3: Cross multiply
    4,806.52x = 7,209.78 × 1,886.20
  4. Step 4: Simplify right side
    4,806.52x = 13,599,087.04
  5. Step 5: Solve for x
    x = 13,599,087.04/4,806.52
  6. Step 6: Final answer
    x = 2,829.30

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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.