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Finding the Fourth Proportional to 5,884.93, 8,827.40 and 2,965.69

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Solution

The fourth proportional to 5,884.93, 8,827.40 and 2,965.69 is: 4,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.93 : 8,827.40 = 2,965.69 : x
  2. Step 2: Convert to fraction form
    5,884.93/8,827.40 = 2,965.69/x
  3. Step 3: Cross multiply
    5,884.93x = 8,827.40 × 2,965.69
  4. Step 4: Simplify right side
    5,884.93x = 26,179,331.91
  5. Step 5: Solve for x
    x = 26,179,331.91/5,884.93
  6. Step 6: Final answer
    x = 4,448.54

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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.