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Finding the Fourth Proportional to 5,385.34, 7,432.11 and 3,027.63

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Solution

The fourth proportional to 5,385.34, 7,432.11 and 3,027.63 is: 4,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.34 : 7,432.11 = 3,027.63 : x
  2. Step 2: Convert to fraction form
    5,385.34/7,432.11 = 3,027.63/x
  3. Step 3: Cross multiply
    5,385.34x = 7,432.11 × 3,027.63
  4. Step 4: Simplify right side
    5,385.34x = 22,501,664.06
  5. Step 5: Solve for x
    x = 22,501,664.06/5,385.34
  6. Step 6: Final answer
    x = 4,178.32

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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.