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Finding the Fourth Proportional to 5,113.53, 7,632.83 and 4,747.61

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Solution

The fourth proportional to 5,113.53, 7,632.83 and 4,747.61 is: 7,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.53 : 7,632.83 = 4,747.61 : x
  2. Step 2: Convert to fraction form
    5,113.53/7,632.83 = 4,747.61/x
  3. Step 3: Cross multiply
    5,113.53x = 7,632.83 × 4,747.61
  4. Step 4: Simplify right side
    5,113.53x = 36,237,730.99
  5. Step 5: Solve for x
    x = 36,237,730.99/5,113.53
  6. Step 6: Final answer
    x = 7,086.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.