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Finding the Fourth Proportional to 7,298.85, 10,949.87 and 2,368.98

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Solution

The fourth proportional to 7,298.85, 10,949.87 and 2,368.98 is: 3,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.85 : 10,949.87 = 2,368.98 : x
  2. Step 2: Convert to fraction form
    7,298.85/10,949.87 = 2,368.98/x
  3. Step 3: Cross multiply
    7,298.85x = 10,949.87 × 2,368.98
  4. Step 4: Simplify right side
    7,298.85x = 25,940,011.19
  5. Step 5: Solve for x
    x = 25,940,011.19/7,298.85
  6. Step 6: Final answer
    x = 3,553.99

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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.