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Finding the Fourth Proportional to 5,347.68, 8,021.52 and 1,884.96

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Solution

The fourth proportional to 5,347.68, 8,021.52 and 1,884.96 is: 2,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.68 : 8,021.52 = 1,884.96 : x
  2. Step 2: Convert to fraction form
    5,347.68/8,021.52 = 1,884.96/x
  3. Step 3: Cross multiply
    5,347.68x = 8,021.52 × 1,884.96
  4. Step 4: Simplify right side
    5,347.68x = 15,120,244.34
  5. Step 5: Solve for x
    x = 15,120,244.34/5,347.68
  6. Step 6: Final answer
    x = 2,827.44

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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.