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Finding the Fourth Proportional to 7,340.70, 10,998.45 and 3,437.10

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Solution

The fourth proportional to 7,340.70, 10,998.45 and 3,437.10 is: 5,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.70 : 10,998.45 = 3,437.10 : x
  2. Step 2: Convert to fraction form
    7,340.70/10,998.45 = 3,437.10/x
  3. Step 3: Cross multiply
    7,340.70x = 10,998.45 × 3,437.10
  4. Step 4: Simplify right side
    7,340.70x = 37,802,772.50
  5. Step 5: Solve for x
    x = 37,802,772.50/7,340.70
  6. Step 6: Final answer
    x = 5,149.75

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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.