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Finding the Fourth Proportional to 4,712.82, 6,503.31 and 2,616.90

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Solution

The fourth proportional to 4,712.82, 6,503.31 and 2,616.90 is: 3,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.82 : 6,503.31 = 2,616.90 : x
  2. Step 2: Convert to fraction form
    4,712.82/6,503.31 = 2,616.90/x
  3. Step 3: Cross multiply
    4,712.82x = 6,503.31 × 2,616.90
  4. Step 4: Simplify right side
    4,712.82x = 17,018,511.94
  5. Step 5: Solve for x
    x = 17,018,511.94/4,712.82
  6. Step 6: Final answer
    x = 3,611.11

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