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Finding the Fourth Proportional to 5,825.04, 8,037 and 3,730.38

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Solution

The fourth proportional to 5,825.04, 8,037 and 3,730.38 is: 5,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.04 : 8,037 = 3,730.38 : x
  2. Step 2: Convert to fraction form
    5,825.04/8,037 = 3,730.38/x
  3. Step 3: Cross multiply
    5,825.04x = 8,037 × 3,730.38
  4. Step 4: Simplify right side
    5,825.04x = 29,981,064.06
  5. Step 5: Solve for x
    x = 29,981,064.06/5,825.04
  6. Step 6: Final answer
    x = 5,146.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.