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Finding the Fourth Proportional to 3,806.60, 5,701.80 and 3,077.60

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Solution

The fourth proportional to 3,806.60, 5,701.80 and 3,077.60 is: 4,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.60 : 5,701.80 = 3,077.60 : x
  2. Step 2: Convert to fraction form
    3,806.60/5,701.80 = 3,077.60/x
  3. Step 3: Cross multiply
    3,806.60x = 5,701.80 × 3,077.60
  4. Step 4: Simplify right side
    3,806.60x = 17,547,859.68
  5. Step 5: Solve for x
    x = 17,547,859.68/3,806.60
  6. Step 6: Final answer
    x = 4,609.85

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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.