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Finding the Fourth Proportional to 4,768.73, 7,157.49 and 2,430.39

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Solution

The fourth proportional to 4,768.73, 7,157.49 and 2,430.39 is: 3,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.73 : 7,157.49 = 2,430.39 : x
  2. Step 2: Convert to fraction form
    4,768.73/7,157.49 = 2,430.39/x
  3. Step 3: Cross multiply
    4,768.73x = 7,157.49 × 2,430.39
  4. Step 4: Simplify right side
    4,768.73x = 17,395,492.12
  5. Step 5: Solve for x
    x = 17,395,492.12/4,768.73
  6. Step 6: Final answer
    x = 3,647.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.