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Finding the Fourth Proportional to 4,806.60, 7,208.70 and 1,844.40

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Solution

The fourth proportional to 4,806.60, 7,208.70 and 1,844.40 is: 2,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.60 : 7,208.70 = 1,844.40 : x
  2. Step 2: Convert to fraction form
    4,806.60/7,208.70 = 1,844.40/x
  3. Step 3: Cross multiply
    4,806.60x = 7,208.70 × 1,844.40
  4. Step 4: Simplify right side
    4,806.60x = 13,295,726.28
  5. Step 5: Solve for x
    x = 13,295,726.28/4,806.60
  6. Step 6: Final answer
    x = 2,766.14

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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.