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Finding the Fourth Proportional to 3,405.85, 5,109.68 and 3,080.50

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Solution

The fourth proportional to 3,405.85, 5,109.68 and 3,080.50 is: 4,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.85 : 5,109.68 = 3,080.50 : x
  2. Step 2: Convert to fraction form
    3,405.85/5,109.68 = 3,080.50/x
  3. Step 3: Cross multiply
    3,405.85x = 5,109.68 × 3,080.50
  4. Step 4: Simplify right side
    3,405.85x = 15,740,364.17
  5. Step 5: Solve for x
    x = 15,740,364.17/3,405.85
  6. Step 6: Final answer
    x = 4,621.57

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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.