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Finding the Fourth Proportional to 5,827.68, 8,735.60 and 2,320.17

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Solution

The fourth proportional to 5,827.68, 8,735.60 and 2,320.17 is: 3,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.68 : 8,735.60 = 2,320.17 : x
  2. Step 2: Convert to fraction form
    5,827.68/8,735.60 = 2,320.17/x
  3. Step 3: Cross multiply
    5,827.68x = 8,735.60 × 2,320.17
  4. Step 4: Simplify right side
    5,827.68x = 20,268,115.61
  5. Step 5: Solve for x
    x = 20,268,115.61/5,827.68
  6. Step 6: Final answer
    x = 3,477.90

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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.