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Finding the Fourth Proportional to 3,890.06, 5,829.60 and 1,810.70

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Solution

The fourth proportional to 3,890.06, 5,829.60 and 1,810.70 is: 2,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.06 : 5,829.60 = 1,810.70 : x
  2. Step 2: Convert to fraction form
    3,890.06/5,829.60 = 1,810.70/x
  3. Step 3: Cross multiply
    3,890.06x = 5,829.60 × 1,810.70
  4. Step 4: Simplify right side
    3,890.06x = 10,555,656.72
  5. Step 5: Solve for x
    x = 10,555,656.72/3,890.06
  6. Step 6: Final answer
    x = 2,713.49

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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.