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Finding the Fourth Proportional to 3,893.52, 5,374.08 and 2,402.72

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Solution

The fourth proportional to 3,893.52, 5,374.08 and 2,402.72 is: 3,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.52 : 5,374.08 = 2,402.72 : x
  2. Step 2: Convert to fraction form
    3,893.52/5,374.08 = 2,402.72/x
  3. Step 3: Cross multiply
    3,893.52x = 5,374.08 × 2,402.72
  4. Step 4: Simplify right side
    3,893.52x = 12,912,409.50
  5. Step 5: Solve for x
    x = 12,912,409.50/3,893.52
  6. Step 6: Final answer
    x = 3,316.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.