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Finding the Fourth Proportional to 5,823.81, 8,037.03 and 3,305.87

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Solution

The fourth proportional to 5,823.81, 8,037.03 and 3,305.87 is: 4,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.81 : 8,037.03 = 3,305.87 : x
  2. Step 2: Convert to fraction form
    5,823.81/8,037.03 = 3,305.87/x
  3. Step 3: Cross multiply
    5,823.81x = 8,037.03 × 3,305.87
  4. Step 4: Simplify right side
    5,823.81x = 26,569,376.37
  5. Step 5: Solve for x
    x = 26,569,376.37/5,823.81
  6. Step 6: Final answer
    x = 4,562.20

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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.