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Finding the Fourth Proportional to 5,111.62, 7,630.11 and 4,385.86

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Solution

The fourth proportional to 5,111.62, 7,630.11 and 4,385.86 is: 6,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.62 : 7,630.11 = 4,385.86 : x
  2. Step 2: Convert to fraction form
    5,111.62/7,630.11 = 4,385.86/x
  3. Step 3: Cross multiply
    5,111.62x = 7,630.11 × 4,385.86
  4. Step 4: Simplify right side
    5,111.62x = 33,464,594.24
  5. Step 5: Solve for x
    x = 33,464,594.24/5,111.62
  6. Step 6: Final answer
    x = 6,546.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.