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Finding the Fourth Proportional to 4,800.24, 7,189.16 and 3,695.84

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Solution

The fourth proportional to 4,800.24, 7,189.16 and 3,695.84 is: 5,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.24 : 7,189.16 = 3,695.84 : x
  2. Step 2: Convert to fraction form
    4,800.24/7,189.16 = 3,695.84/x
  3. Step 3: Cross multiply
    4,800.24x = 7,189.16 × 3,695.84
  4. Step 4: Simplify right side
    4,800.24x = 26,569,985.09
  5. Step 5: Solve for x
    x = 26,569,985.09/4,800.24
  6. Step 6: Final answer
    x = 5,535.14

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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.