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Finding the Fourth Proportional to 4,809.97, 7,214.08 and 1,300.24

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Solution

The fourth proportional to 4,809.97, 7,214.08 and 1,300.24 is: 1,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.97 : 7,214.08 = 1,300.24 : x
  2. Step 2: Convert to fraction form
    4,809.97/7,214.08 = 1,300.24/x
  3. Step 3: Cross multiply
    4,809.97x = 7,214.08 × 1,300.24
  4. Step 4: Simplify right side
    4,809.97x = 9,380,035.38
  5. Step 5: Solve for x
    x = 9,380,035.38/4,809.97
  6. Step 6: Final answer
    x = 1,950.12

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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.