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Finding the Fourth Proportional to 3,405.45, 4,699.99 and 1,913.48

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Solution

The fourth proportional to 3,405.45, 4,699.99 and 1,913.48 is: 2,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.45 : 4,699.99 = 1,913.48 : x
  2. Step 2: Convert to fraction form
    3,405.45/4,699.99 = 1,913.48/x
  3. Step 3: Cross multiply
    3,405.45x = 4,699.99 × 1,913.48
  4. Step 4: Simplify right side
    3,405.45x = 8,993,341.65
  5. Step 5: Solve for x
    x = 8,993,341.65/3,405.45
  6. Step 6: Final answer
    x = 2,640.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.