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Finding the Fourth Proportional to 7,290, 10,935.81 and 2,359.44

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Solution

The fourth proportional to 7,290, 10,935.81 and 2,359.44 is: 3,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290 : 10,935.81 = 2,359.44 : x
  2. Step 2: Convert to fraction form
    7,290/10,935.81 = 2,359.44/x
  3. Step 3: Cross multiply
    7,290x = 10,935.81 × 2,359.44
  4. Step 4: Simplify right side
    7,290x = 25,802,387.55
  5. Step 5: Solve for x
    x = 25,802,387.55/7,290
  6. Step 6: Final answer
    x = 3,539.42

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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.