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Finding the Fourth Proportional to 5,827.47, 8,037.90 and 3,730.65

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Solution

The fourth proportional to 5,827.47, 8,037.90 and 3,730.65 is: 5,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.47 : 8,037.90 = 3,730.65 : x
  2. Step 2: Convert to fraction form
    5,827.47/8,037.90 = 3,730.65/x
  3. Step 3: Cross multiply
    5,827.47x = 8,037.90 × 3,730.65
  4. Step 4: Simplify right side
    5,827.47x = 29,986,591.64
  5. Step 5: Solve for x
    x = 29,986,591.64/5,827.47
  6. Step 6: Final answer
    x = 5,145.73

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