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Finding the Fourth Proportional to 5,884.55, 8,827.13 and 2,597.67

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Solution

The fourth proportional to 5,884.55, 8,827.13 and 2,597.67 is: 3,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.55 : 8,827.13 = 2,597.67 : x
  2. Step 2: Convert to fraction form
    5,884.55/8,827.13 = 2,597.67/x
  3. Step 3: Cross multiply
    5,884.55x = 8,827.13 × 2,597.67
  4. Step 4: Simplify right side
    5,884.55x = 22,929,957.80
  5. Step 5: Solve for x
    x = 22,929,957.80/5,884.55
  6. Step 6: Final answer
    x = 3,896.64

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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.