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Finding the Fourth Proportional to 4,712.37, 6,503.12 and 2,616.49

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Solution

The fourth proportional to 4,712.37, 6,503.12 and 2,616.49 is: 3,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.37 : 6,503.12 = 2,616.49 : x
  2. Step 2: Convert to fraction form
    4,712.37/6,503.12 = 2,616.49/x
  3. Step 3: Cross multiply
    4,712.37x = 6,503.12 × 2,616.49
  4. Step 4: Simplify right side
    4,712.37x = 17,015,348.45
  5. Step 5: Solve for x
    x = 17,015,348.45/4,712.37
  6. Step 6: Final answer
    x = 3,610.78

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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.