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Finding the Fourth Proportional to 5,884.63, 8,827.05 and 2,597.02

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Solution

The fourth proportional to 5,884.63, 8,827.05 and 2,597.02 is: 3,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.63 : 8,827.05 = 2,597.02 : x
  2. Step 2: Convert to fraction form
    5,884.63/8,827.05 = 2,597.02/x
  3. Step 3: Cross multiply
    5,884.63x = 8,827.05 × 2,597.02
  4. Step 4: Simplify right side
    5,884.63x = 22,924,025.39
  5. Step 5: Solve for x
    x = 22,924,025.39/5,884.63
  6. Step 6: Final answer
    x = 3,895.58

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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.